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156265164 = 223211616469
BaseRepresentation
bin10010101000001…
…10101011001100
3101220001002111200
421110012223030
5310000441124
623301145500
73605142366
oct1124065314
9356032450
10156265164
1180231370
12443bb290
13264b37c3
1416a79d36
15dababc9
hex9506acc

156265164 has 72 divisors (see below), whose sum is σ = 438044880. Its totient is φ = 46569600.

The previous prime is 156265163. The next prime is 156265181. The reversal of 156265164 is 461562651.

156265164 = 1072 + 1082 + ... + 7772.

156265164 is a `hidden beast` number, since 15 + 626 + 5 + 16 + 4 = 666.

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 (156265163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20922 + ... + 27390.

Almost surely, 2156265164 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 156265164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219022440).

156265164 is an abundant number, since it is smaller than the sum of its proper divisors (281779716).

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

156265164 is a wasteful number, since it uses less digits than its factorization.

156265164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6546 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 156265164 is about 12500.6065452841. The cubic root of 156265164 is about 538.6260958631.

The spelling of 156265164 in words is "one hundred fifty-six million, two hundred sixty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2196 2684 4026 6039 6469 8052 12078 12938 19407 24156 25876 38814 58221 71159 77628 116442 142318 213477 232884 284636 394609 426954 640431 789218 853908 1183827 1280862 1578436 2367654 2561724 3551481 4340699 4735308 7102962 8681398 13022097 14205924 17362796 26044194 39066291 52088388 78132582 156265164