162 (number)

162 (one hundred [and] sixty-two) is the natural number between 161 and 163.

← 161 162 163 →
← 160 161 162 163 164 165 166 167 168 169 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred sixty-two
Ordinal	162nd (one hundred sixty-second)
Factorization	2 × 34
Divisors	1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greek numeral	ΡΞΒ´
Roman numeral	CLXII, clxii
Binary	101000102
Ternary	200003
Senary	4306
Octal	2428
Duodecimal	11612
Hexadecimal	A216

In mathematics

Having only 2 and 3 as its prime divisors, 162 is a 3-smooth number.^[1] 162 is also an abundant number, since its sum of divisors ${\displaystyle 1+2+3+6+9+18+27+54+81=201}$ is greater than it.^[2] As the product ${\displaystyle 3\times 6\times 9=162}$ of numbers three units apart from each other, it is a triple factorial number.^[3]

There are 162 ways of partitioning seven items into subsets of at least two items per subset.^[4] 162⁶⁴ + 1 is a prime number.