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157170960 = 24325239491
BaseRepresentation
bin10010101111000…
…11110100010000
3101221202010000200
421113203310100
5310213432320
623332415200
73615634242
oct1127436420
9357663020
10157170960
118079a961
1244777500
132673cb8b
1416c34092
15dbe9290
hex95e3d10

157170960 has 120 divisors (see below), whose sum is σ = 550839744. Its totient is φ = 40085760.

The previous prime is 157170947. The next prime is 157170991. The reversal of 157170960 is 69071751.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 11815 + ... + 21305.

Almost surely, 2157170960 is an apocalyptic number.

157170960 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 157170960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275419872).

157170960 is an abundant number, since it is smaller than the sum of its proper divisors (393668784).

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

157170960 is a wasteful number, since it uses less digits than its factorization.

157170960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 157170960 is about 12536.7842766796. The cubic root of 157170960 is about 539.6648125625.

The spelling of 157170960 in words is "one hundred fifty-seven million, one hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 9491 16560 18982 28473 37964 47455 56946 75928 85419 94910 113892 142365 151856 170838 189820 218293 227784 284730 341676 379640 427095 436586 455568 569460 654879 683352 759280 854190 873172 1091465 1138920 1309758 1366704 1708380 1746344 1964637 2182930 2277840 2619516 3274395 3416760 3492688 3929274 4365860 5239032 6548790 6833520 7858548 8731720 9823185 10478064 13097580 15717096 17463440 19646370 26195160 31434192 39292740 52390320 78585480 157170960