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130418688 = 211321227
BaseRepresentation
bin1111100011000…
…00100000000000
3100002101221210210
413301200200000
5231341344223
620535154120
73142353261
oct761404000
9302357723
10130418688
1167688544
1237815940
132103422a
141346c968
15b6b2893
hex7c60800

130418688 has 48 divisors (see below), whose sum is σ = 347714640. Its totient is φ = 43470848.

The previous prime is 130418683. The next prime is 130418719. The reversal of 130418688 is 886814031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (130418683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4470 + ... + 16757.

It is an arithmetic number, because the mean of its divisors is an integer number (7244055).

Almost surely, 2130418688 is an apocalyptic number.

It is an amenable number.

130418688 is an abundant number, since it is smaller than the sum of its proper divisors (217295952).

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

130418688 is an equidigital number, since it uses as much as digits as its factorization.

130418688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21252 (or 21232 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 130418688 is about 11420.1001746920. The cubic root of 130418688 is about 507.1229622900.

The spelling of 130418688 in words is "one hundred thirty million, four hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 21227 42454 63681 84908 127362 169816 254724 339632 509448 679264 1018896 1358528 2037792 2717056 4075584 5434112 8151168 10868224 16302336 21736448 32604672 43472896 65209344 130418688