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157960512 = 2632274237
BaseRepresentation
bin10010110101001…
…00100101000000
3102000020020002100
421122210211000
5310414214022
623401350400
73625433163
oct1132444500
9360206070
10157960512
118118a086
1244a98400
1326958378
1416d9bada
15dd031ac
hex96a4940

157960512 has 42 divisors (see below), whose sum is σ = 452766938. Its totient is φ = 52653312.

The previous prime is 157960501. The next prime is 157960559. The reversal of 157960512 is 215069751.

157960512 is a `hidden beast` number, since 1 + 57 + 96 + 0 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118722816 + 39237696 = 10896^2 + 6264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136543 + ... + 137694.

Almost surely, 2157960512 is an apocalyptic number.

157960512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157960512 is an abundant number, since it is smaller than the sum of its proper divisors (294806426).

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

157960512 is a wasteful number, since it uses less digits than its factorization.

157960512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274255 (or 274242 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 157960512 is about 12568.2342435204. The cubic root of 157960512 is about 540.5669765074.

The spelling of 157960512 in words is "one hundred fifty-seven million, nine hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 274237 548474 822711 1096948 1645422 2193896 2468133 3290844 4387792 4936266 6581688 8775584 9872532 13163376 17551168 19745064 26326752 39490128 52653504 78980256 157960512