20,000

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← 19999 20000 20001 →
Cardinaltwenty thousand
Ordinal20000th
(twenty thousandth)
Factorization25 × 54
Greek numeral
Roman numeralXX
Binary1001110001000002
Ternary10001022023
Senary2323326
Octal470408
DuodecimalB6A812
Hexadecimal4E2016

20,000 (twenty thousand) is the natural number that comes after 19,999 and before 20,001.

20,000 is a round number, and is also in the title of Jules Verne's novel Twenty Thousand Leagues Under the Sea.

Selected numbers in the range 20001–29999[edit]

20001 to 20999[edit]

21000 to 21999[edit]

22000 to 22999[edit]

23000 to 23999[edit]

  • 23000 = number of primes .[13]
  • 23401 = Leyland number:[4] 65 + 56
  • 23409 = 1532, sum of the cubes of the first 17 positive integers
  • 23497 = cuban prime[11]
  • 23821 = square pyramidal number[5]
  • 23833 = Padovan prime
  • 23969 = octahedral number[9]
  • 23976 = pentagonal pyramidal number[3]

24000 to 24999[edit]

25000 to 25999[edit]

  • 25011 = the smallest composite number, ending in 1, 3, 7, or 9, that in base 10 remains composite after any insertion of a digit
  • 25085 = Zeisel number[14]
  • 25117 = cuban prime[11]
  • 25200 = highly composite number[2]
  • 25205 = largest number whose factorial is less than 10100000
  • 25585 = square pyramidal number[5]
  • 25724 = Fine number[16]

26000 to 26999[edit]

  • 26214 = octahedral number[9]
  • 26227 = cuban prime[11]
  • 26861 = smallest number for which there are more primes of the form 4k + 1 than of the form 4k + 3 up to the number, against Chebyshev's bias
  • 26896 = 1642, palindromic in base 9: 408049

27000 to 27999[edit]

  • 27000 = 303
  • 27434 = square pyramidal number[5]
  • 27559 = Zeisel number[14]
  • 27648 = 11 × 22 × 33 × 44
  • 27653 = Friedman prime
  • 27720 = highly composite number;[2] smallest number divisible by the numbers 1 to 12 (there is no smaller number divisible by the numbers 1 to 11 since any number divisible by 4 and 3 must be divisible by 12, since 4×3=12)
  • 27846 = harmonic divisor number[17]
  • 27889 = 1672

28000 to 28999[edit]

  • 28158 = pentagonal pyramidal number[3]
  • 28374 = smallest integer to start a run of six consecutive integers with the same number of divisors
  • 28393 = unique prime in base 13
  • 28547 = Friedman prime
  • 28559 = nice Friedman prime
  • 28561 = 1692 = 134 = 1192 + 1202, number that is simultaneously a square number and a centered square number, palindromic in base 12: 1464112
  • 28595 = octahedral number[9]
  • 28657 = Fibonacci prime,[18] Markov prime[19]
  • 28900 = 1702, palindromic in base 13: 1020113

29000 to 29999[edit]

  • 29241 = 1712, sum of the cubes of the first 18 positive integers
  • 29341 = Carmichael number[20]
  • 29370 = square pyramidal number[5]
  • 29527 = Friedman prime
  • 29531 = Friedman prime
  • 29601 = number of planar partitions of 18[21]
  • 29791 = 313

There are 983 prime numbers between 20000 and 30000.

References[edit]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A005893 (Number of points on surface of tetrahedron)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ a b c "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  3. ^ a b c d "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  4. ^ a b "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  5. ^ a b c d e f "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  6. ^ "Sloane's A000078 : Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  7. ^ Sloane, N. J. A. (ed.). "Sequence A111441 (Numbers k such that the sum of the squares of the first k primes is divisible by k)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
  8. ^ "Sloane's A000110 : Bell or exponential numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  9. ^ a b c d "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  10. ^ "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  11. ^ a b c d e "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  12. ^ "Sloane's A003261 : Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  13. ^ Sloane, N. J. A. (ed.). "Sequence A007053". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
  14. ^ a b c "Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  15. ^ "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  16. ^ Sloane, N. J. A. (ed.). "Sequence A000957". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-01.
  17. ^ "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  18. ^ "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  19. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  20. ^ "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  21. ^ Sloane, N. J. A. (ed.). "Sequence A000219 (Number of planar partitions (or plane partitions) of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.