Search a number
-
+
156132864 = 2932311093
BaseRepresentation
bin10010100111001…
…10011000000000
3101212210101000200
421103212120000
5304432222424
623254245200
73604051566
oct1123463000
9355711020
10156132864
1180150a28
1244356800
1326468514
1416a43a36
15da918c9
hex94e6600

156132864 has 120 divisors (see below), whose sum is σ = 465571392. Its totient is φ = 50319360.

The previous prime is 156132853. The next prime is 156132869. The reversal of 156132864 is 468231651.

It is a happy number.

156132864 is a `hidden beast` number, since 1 + 561 + 32 + 8 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156132869) 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, 142302 + ... + 143394.

Almost surely, 2156132864 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 156132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232785696).

156132864 is an abundant number, since it is smaller than the sum of its proper divisors (309438528).

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

156132864 is a wasteful number, since it uses less digits than its factorization.

156132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1129 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 156132864 is about 12495.3136815368. The cubic root of 156132864 is about 538.4740458675.

The spelling of 156132864 in words is "one hundred fifty-six million, one hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1093 1116 1152 1488 1536 1984 2186 2232 2304 2976 3279 3968 4372 4464 4608 5952 6558 7936 8744 8928 9837 11904 13116 15872 17488 17856 19674 23808 26232 33883 34976 35712 39348 47616 52464 67766 69952 71424 78696 101649 104928 135532 139904 142848 157392 203298 209856 271064 279808 304947 314784 406596 419712 542128 559616 609894 629568 813192 839424 1084256 1219788 1259136 1626384 1678848 2168512 2439576 2518272 3252768 4337024 4879152 5036544 6505536 8674048 9758304 13011072 17348096 19516608 26022144 39033216 52044288 78066432 156132864