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13264272 = 2432713159
BaseRepresentation
bin110010100110…
…010110010000
3220221220011100
4302212112100
511343424042
61152144400
7220513230
oct62462620
926856140
1013264272
11753a70a
124538100
1329955a8
141a93cc0
15127024c
hexca6590

13264272 has 60 divisors (see below), whose sum is σ = 42427840. Its totient is φ = 3789504.

The previous prime is 13264271. The next prime is 13264289. The reversal of 13264272 is 27246231.

13264272 is a `hidden beast` number, since 13 + 2 + 642 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13264271) 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, 5572 + ... + 7587.

Almost surely, 213264272 is an apocalyptic number.

13264272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13264272 is an abundant number, since it is smaller than the sum of its proper divisors (29163568).

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

13264272 is a wasteful number, since it uses less digits than its factorization.

13264272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13180 (or 13171 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13264272 is about 3642.0148269879. The cubic root of 13264272 is about 236.7161050811.

The spelling of 13264272 in words is "thirteen million, two hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 13159 26318 39477 52636 78954 92113 105272 118431 157908 184226 210544 236862 276339 315816 368452 473724 552678 631632 736904 829017 947448 1105356 1473808 1658034 1894896 2210712 3316068 4421424 6632136 13264272