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151120656 = 24322394391
BaseRepresentation
bin10010000000111…
…10101100010000
3101112100201120100
421000132230100
5302141330111
622555012400
73513335001
oct1100365420
9345321510
10151120656
1178338205
124273a100
132540200b
14160db1a8
15d401756
hex901eb10

151120656 has 60 divisors (see below), whose sum is σ = 424794240. Its totient is φ = 50151360.

The previous prime is 151120639. The next prime is 151120657. The reversal of 151120656 is 656021151.

It is a happy number.

151120656 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 2 + 0 + 656 = 666.

It is not an unprimeable number, because it can be changed into a prime (151120657) 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, 32221 + ... + 36611.

It is an arithmetic number, because the mean of its divisors is an integer number (7079904).

Almost surely, 2151120656 is an apocalyptic number.

151120656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212397120).

151120656 is an abundant number, since it is smaller than the sum of its proper divisors (273673584).

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

151120656 is a wasteful number, since it uses less digits than its factorization.

151120656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 151120656 is about 12293.1141701361. The cubic root of 151120656 is about 532.6491971013.

The spelling of 151120656 in words is "one hundred fifty-one million, one hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3824 4302 4391 5736 8604 8782 11472 13173 17208 17564 26346 34416 35128 39519 52692 70256 79038 105384 158076 210768 316152 632304 1049449 2098898 3148347 4197796 6296694 8395592 9445041 12593388 16791184 18890082 25186776 37780164 50373552 75560328 151120656