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157164096 = 2633312473
BaseRepresentation
bin10010101111000…
…10001001000000
3101221201202121110
421113202021000
5310213222341
623332323320
73615605235
oct1127421100
9357652543
10157164096
1180795791
1244773540
1326739a0b
1416c3178c
15dbe7216
hex95e2240

157164096 has 56 divisors (see below), whose sum is σ = 417254944. Its totient is φ = 52208640.

The previous prime is 157164047. The next prime is 157164127. The reversal of 157164096 is 690461751.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62316 + ... + 64788.

Almost surely, 2157164096 is an apocalyptic number.

157164096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208627472).

157164096 is an abundant number, since it is smaller than the sum of its proper divisors (260090848).

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

157164096 is a wasteful number, since it uses less digits than its factorization.

157164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 157164096 is about 12536.5105192793. The cubic root of 157164096 is about 539.6569563334.

The spelling of 157164096 in words is "one hundred fifty-seven million, one hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 993 1324 1986 2473 2648 3972 4946 5296 7419 7944 9892 10592 14838 15888 19784 21184 29676 31776 39568 59352 63552 79136 118704 158272 237408 474816 818563 1637126 2455689 3274252 4911378 6548504 9822756 13097008 19645512 26194016 39291024 52388032 78582048 157164096