170 (number)

170 (one hundred [and] seventy) is the natural number following 169 and preceding 171.

← 169 170 171 →
← 170 171 172 173 174 175 176 177 178 179 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred seventy
Ordinal	170th (one hundred seventieth)
Factorization	2 × 5 × 17
Divisors	1, 2, 5, 10, 17, 34, 85, 170
Greek numeral	ΡΟ´
Roman numeral	CLXX, clxx
Binary	101010102
Ternary	200223
Senary	4426
Octal	2528
Duodecimal	12212
Hexadecimal	AA16

In mathematics

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]