Search a number
-
+
156964032 = 2632272507
BaseRepresentation
bin10010101101100…
…01010011000000
3101221100121011200
421112301103000
5310140322112
623324141200
73614113041
oct1126612300
9357317150
10156964032
1180669445
1244697800
1326699934
1416bbc8c8
15dba7cdc
hex95b14c0

156964032 has 42 divisors (see below), whose sum is σ = 449910708. Its totient is φ = 52321152.

The previous prime is 156964019. The next prime is 156964057. The reversal of 156964032 is 230469651.

It is a happy number.

156964032 is a `hidden beast` number, since 1 + 5 + 6 + 9 + 640 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135678 + ... + 136829.

Almost surely, 2156964032 is an apocalyptic number.

156964032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

156964032 is an abundant number, since it is smaller than the sum of its proper divisors (292946676).

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

156964032 is a wasteful number, since it uses less digits than its factorization.

156964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272525 (or 272512 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 156964032 is about 12528.5287244752. The cubic root of 156964032 is about 539.4278714116.

The spelling of 156964032 in words is "one hundred fifty-six million, nine hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 272507 545014 817521 1090028 1635042 2180056 2452563 3270084 4360112 4905126 6540168 8720224 9810252 13080336 17440448 19620504 26160672 39241008 52321344 78482016 156964032