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157341632 = 2671572237
BaseRepresentation
bin10010110000011…
…01011111000000
3101222001210010212
421120031133000
5310234413012
623340213252
73620244650
oct1130153700
9358053125
10157341632
11808a7108
124483a228
132679c776
1416c7a360
15dc2eb22
hex960d7c0

157341632 has 56 divisors (see below), whose sum is σ = 359261664. Its totient is φ = 66972672.

The previous prime is 157341629. The next prime is 157341673. The reversal of 157341632 is 236143751.

157341632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 69218 + ... + 71454.

Almost surely, 2157341632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179630832).

157341632 is an abundant number, since it is smaller than the sum of its proper divisors (201920032).

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

157341632 is a wasteful number, since it uses less digits than its factorization.

157341632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2403 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 157341632 is about 12543.5892789903. The cubic root of 157341632 is about 539.8600826340.

The spelling of 157341632 in words is "one hundred fifty-seven million, three hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 448 628 1099 1256 2198 2237 2512 4396 4474 5024 8792 8948 10048 15659 17584 17896 31318 35168 35792 62636 70336 71584 125272 143168 250544 351209 501088 702418 1002176 1404836 2458463 2809672 4916926 5619344 9833852 11238688 19667704 22477376 39335408 78670816 157341632