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157138056 = 23341912763
BaseRepresentation
bin10010101110110…
…11110010001000
3101221200102220000
421113123302020
5310211404211
623332003000
73615436305
oct1127336210
9357612800
10157138056
1180778169
1244760460
132672abca
1416c260ac
15dbde656
hex95dbc88

157138056 has 80 divisors (see below), whose sum is σ = 463333200. Its totient is φ = 49618656.

The previous prime is 157138049. The next prime is 157138067. The reversal of 157138056 is 650831751.

157138056 is a `hidden beast` number, since 1 + 571 + 3 + 80 + 5 + 6 = 666.

157138056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 157138056.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5931 + ... + 18693.

It is an arithmetic number, because the mean of its divisors is an integer number (5791665).

Almost surely, 2157138056 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 157138056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231666600).

157138056 is an abundant number, since it is smaller than the sum of its proper divisors (306195144).

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

157138056 is a wasteful number, since it uses less digits than its factorization.

157138056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12800 (or 12787 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 157138056 is about 12535.4719097448. The cubic root of 157138056 is about 539.6271500276.

The spelling of 157138056 in words is "one hundred fifty-seven million, one hundred thirty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312 12763 25526 38289 51052 76578 102104 114867 153156 229734 242497 306312 344601 459468 484994 689202 727491 918936 969988 1033803 1378404 1454982 1939976 2067606 2182473 2756808 2909964 4135212 4364946 5819928 6547419 8270424 8729892 13094838 17459784 19642257 26189676 39284514 52379352 78569028 157138056