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12392064 = 273231347
BaseRepresentation
bin101111010001…
…011010000000
3212022120201100
4233101122000
511133021224
61121334400
7210221316
oct57213200
925276640
1012392064
116aa4383
124197400
13274b5a9
1419080b6
15114bac9
hexbd1680

12392064 has 96 divisors (see below), whose sum is σ = 36915840. Its totient is φ = 3985920.

The previous prime is 12392057. The next prime is 12392069. The reversal of 12392064 is 46029321.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12392069) 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, 35539 + ... + 35885.

It is an arithmetic number, because the mean of its divisors is an integer number (384540).

Almost surely, 212392064 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 12392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457920).

12392064 is an abundant number, since it is smaller than the sum of its proper divisors (24523776).

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

12392064 is a wasteful number, since it uses less digits than its factorization.

12392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12392064 is about 3520.2363557011. The cubic root of 12392064 is about 231.4095170151.

The spelling of 12392064 in words is "twelve million, three hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 347 372 384 496 558 576 694 744 992 1041 1116 1152 1388 1488 1984 2082 2232 2776 2976 3123 3968 4164 4464 5552 5952 6246 8328 8928 10757 11104 11904 12492 16656 17856 21514 22208 24984 32271 33312 35712 43028 44416 49968 64542 66624 86056 96813 99936 129084 133248 172112 193626 199872 258168 344224 387252 399744 516336 688448 774504 1032672 1376896 1549008 2065344 3098016 4130688 6196032 12392064