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157332672 = 2633713007
BaseRepresentation
bin10010110000010…
…11010011000000
3101222001022212000
421120023103000
5310234121142
623340104000
73620206560
oct1130132300
9358038760
10157332672
11808a0402
1244835000
1326798673
1416c76da0
15dc2c14c
hex960b4c0

157332672 has 112 divisors (see below), whose sum is σ = 528645120. Its totient is φ = 44948736.

The previous prime is 157332661. The next prime is 157332691. The reversal of 157332672 is 276233751.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5593 + ... + 18599.

Almost surely, 2157332672 is an apocalyptic number.

157332672 is a gapful number since it is divisible by the number (12) 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 157332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264322560).

157332672 is an abundant number, since it is smaller than the sum of its proper divisors (371312448).

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

157332672 is a wasteful number, since it uses less digits than its factorization.

157332672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13035 (or 13019 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 157332672 is about 12543.2321193542. The cubic root of 157332672 is about 539.8498347886.

The spelling of 157332672 in words is "one hundred fifty-seven million, three hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 13007 26014 39021 52028 78042 91049 104056 117063 156084 182098 208112 234126 273147 312168 351189 364196 416224 468252 546294 624336 702378 728392 819441 832448 936504 1092588 1248672 1404756 1456784 1638882 1873008 2185176 2458323 2497344 2809512 2913568 3277764 3746016 4370352 4916646 5619024 5827136 6555528 7492032 8740704 9833292 11238048 13111056 17481408 19666584 22476096 26222112 39333168 52444224 78666336 157332672