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157149160 = 23571035449
BaseRepresentation
bin10010101110111…
…10011111101000
3101221201000010021
421113132133220
5310212233120
623332130224
73615513550
oct1127363750
9357630107
10157149160
1180785543
1244766974
1326732c8c
1416c2a160
15dbe2aaa
hex95de7e8

157149160 has 64 divisors (see below), whose sum is σ = 408096000. Its totient is φ = 53346816.

The previous prime is 157149131. The next prime is 157149163. The reversal of 157149160 is 61941751.

It is not an unprimeable number, because it can be changed into a prime (157149163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26116 + ... + 31564.

It is an arithmetic number, because the mean of its divisors is an integer number (6376500).

Almost surely, 2157149160 is an apocalyptic number.

157149160 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 157149160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204048000).

157149160 is an abundant number, since it is smaller than the sum of its proper divisors (250946840).

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

157149160 is a wasteful number, since it uses less digits than its factorization.

157149160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5566 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 157149160 is about 12535.9148050711. The cubic root of 157149160 is about 539.6398604617.

The spelling of 157149160 in words is "one hundred fifty-seven million, one hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1442 2060 2884 3605 4120 5449 5768 7210 10898 14420 21796 27245 28840 38143 43592 54490 76286 108980 152572 190715 217960 305144 381430 561247 762860 1122494 1525720 2244988 2806235 3928729 4489976 5612470 7857458 11224940 15714916 19643645 22449880 31429832 39287290 78574580 157149160