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130556624 = 24113123929
BaseRepresentation
bin1111100100000…
…10001011010000
3100002122222000112
413302002023100
5231410302444
620542140452
73143466362
oct762021320
9302588015
10130556624
1167772140
1237881728
1321081c53
14134a6d32
15b6dd69e
hex7c822d0

130556624 has 40 divisors (see below), whose sum is σ = 284862720. Its totient is φ = 57427200.

The previous prime is 130556623. The next prime is 130556633. The reversal of 130556624 is 426655031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130556623) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6509 + ... + 17420.

It is an arithmetic number, because the mean of its divisors is an integer number (7121568).

Almost surely, 2130556624 is an apocalyptic number.

It is an amenable number.

130556624 is an abundant number, since it is smaller than the sum of its proper divisors (154306096).

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

130556624 is a wasteful number, since it uses less digits than its factorization.

130556624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23979 (or 23973 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 130556624 is about 11426.1377551647. The cubic root of 130556624 is about 507.3016837796.

The spelling of 130556624 in words is "one hundred thirty million, five hundred fifty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 23929 47858 95716 191432 263219 382864 526438 741799 1052876 1483598 2105752 2967196 4211504 5934392 8159789 11868784 16319578 32639156 65278312 130556624