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157064112 = 24323741719
BaseRepresentation
bin10010101110010…
…01101110110000
3101221112200110100
421113021232300
5310202022422
623330232400
73615010602
oct1127115660
9357480410
10157064112
1180727657
1244725700
132670335a
1416c07172
15dbc77ac
hex95c9bb0

157064112 has 120 divisors (see below), whose sum is σ = 463095360. Its totient is φ = 49628160.

The previous prime is 157064059. The next prime is 157064119. The reversal of 157064112 is 211460751.

It is a happy number.

157064112 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 641 + 12 = 666.

157064112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157064119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218089 + ... + 218807.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2157064112 is an apocalyptic number.

157064112 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 157064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

157064112 is an abundant number, since it is smaller than the sum of its proper divisors (306031248).

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

157064112 is a wasteful number, since it uses less digits than its factorization.

157064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157064112 is about 12532.5221723323. The cubic root of 157064112 is about 539.5424931521.

The spelling of 157064112 in words is "one hundred fifty-seven million, sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 41 48 72 74 82 111 123 144 148 164 222 246 296 328 333 369 444 492 592 656 666 719 738 888 984 1332 1438 1476 1517 1776 1968 2157 2664 2876 2952 3034 4314 4551 5328 5752 5904 6068 6471 8628 9102 11504 12136 12942 13653 17256 18204 24272 25884 26603 27306 29479 34512 36408 51768 53206 54612 58958 72816 79809 88437 103536 106412 109224 117916 159618 176874 212824 218448 235832 239427 265311 319236 353748 425648 471664 478854 530622 638472 707496 957708 1061244 1090723 1276944 1414992 1915416 2122488 2181446 3272169 3830832 4244976 4362892 6544338 8725784 9816507 13088676 17451568 19633014 26177352 39266028 52354704 78532056 157064112