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13359264 = 25331672
BaseRepresentation
bin110010111101…
…100010100000
3221010201110120
4302331202200
511404444024
61154200240
7221360202
oct62754240
927121416
1013359264
1175a5016
124583080
1329c98b9
141aba772
15128d479
hexcbd8a0

13359264 has 72 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 4245120.

The previous prime is 13359259. The next prime is 13359301. The reversal of 13359264 is 46295331.

It is an unprimeable number.

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, 199359 + ... + 199425.

It is an arithmetic number, because the mean of its divisors is an integer number (510384).

Almost surely, 213359264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13359264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

13359264 is an abundant number, since it is smaller than the sum of its proper divisors (23388384).

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

13359264 is an equidigital number, since it uses as much as digits as its factorization.

13359264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 103 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 13359264 is about 3655.0326947922. The cubic root of 13359264 is about 237.2798417791.

The spelling of 13359264 in words is "thirteen million, three hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 67 93 96 124 134 186 201 248 268 372 402 496 536 744 804 992 1072 1488 1608 2077 2144 2976 3216 4154 4489 6231 6432 8308 8978 12462 13467 16616 17956 24924 26934 33232 35912 49848 53868 66464 71824 99696 107736 139159 143648 199392 215472 278318 417477 430944 556636 834954 1113272 1669908 2226544 3339816 4453088 6679632 13359264