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157385712 = 243111731723
BaseRepresentation
bin10010110000110…
…00001111110000
3101222011000121110
421120120033300
5310242320322
623341153320
73620520321
oct1130301760
9358130543
10157385712
1180927240
124485b840
13267b6853
1416c8c448
15dc3cc0c
hex96183f0

157385712 has 80 divisors (see below), whose sum is σ = 446364288. Its totient is φ = 47389440.

The previous prime is 157385707. The next prime is 157385741. The reversal of 157385712 is 217583751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90483 + ... + 92205.

Almost surely, 2157385712 is an apocalyptic number.

157385712 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 157385712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223182144).

157385712 is an abundant number, since it is smaller than the sum of its proper divisors (288978576).

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

157385712 is a wasteful number, since it uses less digits than its factorization.

157385712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its digits is 58800, while the sum is 39.

The square root of 157385712 is about 12545.3462287814. The cubic root of 157385712 is about 539.9104927092.

The spelling of 157385712 in words is "one hundred fifty-seven million, three hundred eighty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 173 176 264 346 519 528 692 1038 1384 1723 1903 2076 2768 3446 3806 4152 5169 5709 6892 7612 8304 10338 11418 13784 15224 18953 20676 22836 27568 30448 37906 41352 45672 56859 75812 82704 91344 113718 151624 227436 298079 303248 454872 596158 894237 909744 1192316 1788474 2384632 3278869 3576948 4769264 6557738 7153896 9836607 13115476 14307792 19673214 26230952 39346428 52461904 78692856 157385712