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157289132 = 2271113163241
BaseRepresentation
bin10010110000000…
…00101010101100
3101221222010010102
421120000222230
5310231223012
623335130232
73616635620
oct1130005254
9357863112
10157289132
1180870720
1244813978
13267818c0
1416c65180
15dc1e2c2
hex9600aac

157289132 has 96 divisors (see below), whose sum is σ = 373384704. Its totient is φ = 55987200.

The previous prime is 157289131. The next prime is 157289147. The reversal of 157289132 is 231982751.

157289132 is digitally balanced in base 3, 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 (157289131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652532 + ... + 652772.

It is an arithmetic number, because the mean of its divisors is an integer number (3889424).

Almost surely, 2157289132 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 157289132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186692352).

157289132 is an abundant number, since it is smaller than the sum of its proper divisors (216095572).

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

157289132 is a wasteful number, since it uses less digits than its factorization.

157289132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 157289132 is about 12541.4964019450. The cubic root of 157289132 is about 539.8000311250.

The spelling of 157289132 in words is "one hundred fifty-seven million, two hundred eighty-nine thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 163 182 241 286 308 326 364 482 572 652 964 1001 1141 1687 1793 2002 2119 2282 2651 3133 3374 3586 4004 4238 4564 5302 6266 6748 7172 8476 10604 12532 12551 14833 18557 21931 23309 25102 29666 34463 37114 39283 43862 46618 50204 59332 68926 74228 78566 87724 93236 137852 157132 163163 241241 274981 326326 432113 482482 510679 549962 652652 864226 964964 1021358 1099924 1728452 2042716 3024791 3574753 5617469 6049582 7149506 11234938 12099164 14299012 22469876 39322283 78644566 157289132