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130515264 = 26321120599
BaseRepresentation
bin1111100011110…
…00000101000000
3100002120212021200
413301320011000
5231402442024
620541221200
73143234655
oct761700500
9302525250
10130515264
1167744060
1237861800
1321069189
1413495c2c
15b6d12c9
hex7c78140

130515264 has 84 divisors (see below), whose sum is σ = 408127200. Its totient is φ = 39548160.

The previous prime is 130515251. The next prime is 130515269. The reversal of 130515264 is 462515031.

130515264 is a `hidden beast` number, since 130 + 5 + 1 + 526 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130515269) 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 11 ways as a sum of consecutive naturals, for example, 3964 + ... + 16635.

Almost surely, 2130515264 is an apocalyptic number.

It is an amenable number.

130515264 is an abundant number, since it is smaller than the sum of its proper divisors (277611936).

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

130515264 is a wasteful number, since it uses less digits than its factorization.

130515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20628 (or 20615 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 130515264 is about 11424.3277263916. The cubic root of 130515264 is about 507.2481075022.

The spelling of 130515264 in words is "one hundred thirty million, five hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 20599 41198 61797 82396 123594 164792 185391 226589 247188 329584 370782 453178 494376 659168 679767 741564 906356 988752 1318336 1359534 1483128 1812712 1977504 2039301 2719068 2966256 3625424 3955008 4078602 5438136 5932512 7250848 8157204 10876272 11865024 14501696 16314408 21752544 32628816 43505088 65257632 130515264