Search a number
-
+
157324320 = 25325109253
BaseRepresentation
bin10010110000010…
…01010000100000
3101222000220101200
421120021100200
5310233334240
623340001200
73620143326
oct1130112040
9358026350
10157324320
11808950aa
1244830200
132679491a
1416c73d16
15dc29930
hex9609420

157324320 has 72 divisors (see below), whose sum is σ = 536874156. Its totient is φ = 41952768.

The previous prime is 157324309. The next prime is 157324337. The reversal of 157324320 is 23423751.

157324320 is a `hidden beast` number, since 15 + 7 + 324 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154853136 + 2471184 = 12444^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53187 + ... + 56066.

Almost surely, 2157324320 is an apocalyptic number.

157324320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157324320 is an abundant number, since it is smaller than the sum of its proper divisors (379549836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157324320 is a wasteful number, since it uses less digits than its factorization.

157324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109274 (or 109263 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 157324320 is about 12542.8991863923. The cubic root of 157324320 is about 539.8402819823.

The spelling of 157324320 in words is "one hundred fifty-seven million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 109253 218506 327759 437012 546265 655518 874024 983277 1092530 1311036 1638795 1748048 1966554 2185060 2622072 3277590 3496096 3933108 4370120 4916385 5244144 6555180 7866216 8740240 9832770 10488288 13110360 15732432 17480480 19665540 26220720 31464864 39331080 52441440 78662160 157324320