Search a number
-
+
157385520 = 24325218591
BaseRepresentation
bin10010110000110…
…00001100110000
3101222011000100100
421120120030300
5310242314040
623341152400
73620516625
oct1130301460
9358130310
10157385520
1180927086
124485b700
13267b6736
1416c8c34c
15dc3cb30
hex9618330

157385520 has 60 divisors (see below), whose sum is σ = 528555456. Its totient is φ = 41969280.

The previous prime is 157385497. The next prime is 157385521. The reversal of 157385520 is 25583751.

157385520 is a `hidden beast` number, since 1 + 57 + 3 + 85 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157385521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108576 + ... + 110015.

Almost surely, 2157385520 is an apocalyptic number.

157385520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157385520 is an abundant number, since it is smaller than the sum of its proper divisors (371169936).

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

157385520 is a wasteful number, since it uses less digits than its factorization.

157385520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218610 (or 218601 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 157385520 is about 12545.3385765391. The cubic root of 157385520 is about 539.9102731576.

The spelling of 157385520 in words is "one hundred fifty-seven million, three hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 218591 437182 655773 874364 1092955 1311546 1748728 1967319 2185910 2623092 3278865 3497456 3934638 4371820 5246184 6557730 7869276 8743640 9836595 10492368 13115460 15738552 17487280 19673190 26230920 31477104 39346380 52461840 78692760 157385520