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13479264 = 253315601
BaseRepresentation
bin110011011010…
…110101100000
3221100211002000
4303122311200
511422314024
61200524000
7222400101
oct63326540
927324060
1013479264
117677197
124620600
132a3c3c6
141b0c3a8
1512b3cc9
hexcdad60

13479264 has 48 divisors (see below), whose sum is σ = 39317040. Its totient is φ = 4492800.

The previous prime is 13479259. The next prime is 13479299. The reversal of 13479264 is 46297431.

13479264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6937 + ... + 8664.

It is an arithmetic number, because the mean of its divisors is an integer number (819105).

Almost surely, 213479264 is an apocalyptic number.

It is an amenable number.

13479264 is an abundant number, since it is smaller than the sum of its proper divisors (25837776).

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

13479264 is a wasteful number, since it uses less digits than its factorization.

13479264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15620 (or 15606 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13479264 is about 3671.4117175822. The cubic root of 13479264 is about 237.9881829220.

The spelling of 13479264 in words is "thirteen million, four hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15601 31202 46803 62404 93606 124808 140409 187212 249616 280818 374424 421227 499232 561636 748848 842454 1123272 1497696 1684908 2246544 3369816 4493088 6739632 13479264