- published: 01 Dec 2014
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170 (one hundred [and] seventy) is the natural number following 169 and preceding 171.
170 is the smallest n for which φ(n) and σ(n) are both square(64 and 324 respectively). But 170 is never a solution for φ(x), making it a nontotient. Nor is it ever a solution to x - φ(x), making it a noncototient.
The proper divisors of 170 are 1, 2, 5, 10, 17, 34, and 85. These add up to 154, which is less than 170, and thus 170 is a deficient number.
Written as 2222 in base 4, 170 is a repdigit.
170 is the largest integer for which Google's built-in calculator function can compute the factorial, returning the answer as 170! = 7.25741562 × 10306.
A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers.
Mathematical operations are certain procedures that take one or more numbers as input and produce a number as output. Unary operations take a single input number and produce a single output number. For example, the successor operation adds one to an integer, thus the successor of 4 is 5. Binary operations take two input numbers and produce a single output number. Examples of binary operations include addition, subtraction, multiplication, division, and exponentiation. The study of numerical operations is called arithmetic.
A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (e.g., ISBNs).
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