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157910960 = 24517671733
BaseRepresentation
bin10010110100110…
…00011110110000
3102000010201010002
421122120132300
5310411122320
623400325132
73625135544
oct1132303660
9360121102
10157910960
1181155929
1244a737a8
132693b94c
1416d87a24
15dce3675
hex96987b0

157910960 has 80 divisors (see below), whose sum is σ = 394769376. Its totient is φ = 58527744.

The previous prime is 157910953. The next prime is 157910981. The reversal of 157910960 is 69019751.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90254 + ... + 91986.

Almost surely, 2157910960 is an apocalyptic number.

157910960 is a gapful number since it is divisible by the number (10) 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 157910960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197384688).

157910960 is an abundant number, since it is smaller than the sum of its proper divisors (236858416).

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

157910960 is a wasteful number, since it uses less digits than its factorization.

157910960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 38.

The square root of 157910960 is about 12566.2627698135. The cubic root of 157910960 is about 540.5104455515.

The spelling of 157910960 in words is "one hundred fifty-seven million, nine hundred ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 67 68 80 85 134 136 170 268 272 335 340 536 670 680 1072 1139 1340 1360 1733 2278 2680 3466 4556 5360 5695 6932 8665 9112 11390 13864 17330 18224 22780 27728 29461 34660 45560 58922 69320 91120 116111 117844 138640 147305 232222 235688 294610 464444 471376 580555 589220 928888 1161110 1178440 1857776 1973887 2322220 2356880 3947774 4644440 7895548 9288880 9869435 15791096 19738870 31582192 39477740 78955480 157910960