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151056072 = 233214091489
BaseRepresentation
bin10010000000011…
…10111011001000
3101112020102222100
421000032323020
5302132243242
622553353400
73512645466
oct1100167310
9345212870
10151056072
11782a3732
1242708860
13253ab7bb
14160c1836
15d3dc54c
hex900eec8

151056072 has 48 divisors (see below), whose sum is σ = 409675500. Its totient is φ = 50282496.

The previous prime is 151056047. The next prime is 151056083. The reversal of 151056072 is 270650151.

151056072 is a `hidden beast` number, since 1 + 51 + 0 + 5 + 607 + 2 = 666.

151056072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117809316 + 33246756 = 10854^2 + 5766^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 100704 + ... + 102192.

Almost surely, 2151056072 is an apocalyptic number.

151056072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151056072 is an abundant number, since it is smaller than the sum of its proper divisors (258619428).

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

151056072 is a wasteful number, since it uses less digits than its factorization.

151056072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 151056072 is about 12290.4870530016. The cubic root of 151056072 is about 532.5733073710.

The spelling of 151056072 in words is "one hundred fifty-one million, fifty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1409 1489 2818 2978 4227 4467 5636 5956 8454 8934 11272 11912 12681 13401 16908 17868 25362 26802 33816 35736 50724 53604 101448 107208 2098001 4196002 6294003 8392004 12588006 16784008 18882009 25176012 37764018 50352024 75528036 151056072