170 (number)

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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.

170 is a repdigit in base 4 (2222) and base 16 (AA), as well as in bases 33, 84, and 169. It is also a sphenic number.

170 is the largest integer for which its factorial can be stored in IEEE 754 double-precision floating-point format. This is probably why it is also the largest factorial that Google's built-in calculator will calculate, returning the answer as 170! = 7.25741562 × 10³⁰⁶.^{[citation needed]}

There are 170 different cyclic Gilbreath permutations on 12 elements,^[1] and therefore there are 170 different real periodic points of order 12 on the Mandelbrot set.^[2]

• 170s
• E170 (disambiguation)
• F170 (disambiguation)
• List of highways numbered 170
• United States Supreme Court cases, Volume 170
• United Nations Security Council Resolution 170
• Pennsylvania House of Representatives, District 170

Wikimedia Commons has media related to 170 (number).

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• Number Facts and Trivia: 170
• The Positive Integer 170
• Prime curiosities: 170