Search a number
-
+
157379136 = 2631395897
BaseRepresentation
bin10010110000101…
…10101001000000
3101222010200120220
421120112221000
5310242113021
623341103040
73620462205
oct1130265100
9358120526
10157379136
1180922302
1244857a80
13267b3865
1416c89cac
15dc3acc6
hex9616a40

157379136 has 56 divisors (see below), whose sum is σ = 419465760. Its totient is φ = 52073472.

The previous prime is 157379129. The next prime is 157379177. The reversal of 157379136 is 631973751.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23740 + ... + 29636.

It is an arithmetic number, because the mean of its divisors is an integer number (7490460).

Almost surely, 2157379136 is an apocalyptic number.

157379136 is a gapful number since it is divisible by the number (16) 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 157379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209732880).

157379136 is an abundant number, since it is smaller than the sum of its proper divisors (262086624).

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

157379136 is a wasteful number, since it uses less digits than its factorization.

157379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6041 counting only the distinct ones).

The product of its digits is 119070, while the sum is 42.

The square root of 157379136 is about 12545.0841368243. The cubic root of 157379136 is about 539.9029729651.

The spelling of 157379136 in words is "one hundred fifty-seven million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 5897 6672 8896 11794 13344 17691 23588 26688 35382 47176 70764 94352 141528 188704 283056 377408 566112 819683 1132224 1639366 2459049 3278732 4918098 6557464 9836196 13114928 19672392 26229856 39344784 52459712 78689568 157379136