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157085604 = 223213335653
BaseRepresentation
bin10010101110011…
…10111110100100
3101221120202221100
421113032332210
5310203214404
623330520100
73615130344
oct1127167644
9357522840
10157085604
1180741815
1244736030
1326710080
1416c10d24
15dbcdd39
hex95cefa4

157085604 has 36 divisors (see below), whose sum is σ = 427623196. Its totient is φ = 48333888.

The previous prime is 157085581. The next prime is 157085611. The reversal of 157085604 is 406580751.

157085604 is a `hidden beast` number, since 1 + 570 + 85 + 6 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54022500 + 103063104 = 7350^2 + 10152^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1570856043 (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167359 + ... + 168294.

Almost surely, 2157085604 is an apocalyptic number.

It is an amenable number.

157085604 is an abundant number, since it is smaller than the sum of its proper divisors (270537592).

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

157085604 is a wasteful number, since it uses less digits than its factorization.

157085604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335676 (or 335671 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 157085604 is about 12533.3795921132. The cubic root of 157085604 is about 539.5671016135.

It can be divided in two parts, 15708 and 5604, that added together give a palindrome (21312).

The spelling of 157085604 in words is "one hundred fifty-seven million, eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 335653 671306 1006959 1342612 2013918 3020877 4027836 4363489 6041754 8726978 12083508 13090467 17453956 26180934 39271401 52361868 78542802 157085604