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12513984 = 26379311
BaseRepresentation
bin101111101111…
…001011000000
3212112202221220
4233233023000
511200421414
61124115040
7211236630
oct57571300
925482856
1012513984
117077a3a
124235a80
132791c32
14193a6c0
151172ca9
hexbef2c0

12513984 has 56 divisors (see below), whose sum is σ = 37843968. Its totient is φ = 3575040.

The previous prime is 12513983. The next prime is 12514003. The reversal of 12513984 is 48931521.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (12513983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3312 + ... + 5999.

Almost surely, 212513984 is an apocalyptic number.

12513984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12513984 is an abundant number, since it is smaller than the sum of its proper divisors (25329984).

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

12513984 is an equidigital number, since it uses as much as digits as its factorization.

12513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333 (or 9323 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 12513984 is about 3537.5109893822. The cubic root of 12513984 is about 232.1659533989.

The spelling of 12513984 in words is "twelve million, five hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 9311 18622 27933 37244 55866 65177 74488 111732 130354 148976 195531 223464 260708 297952 391062 446928 521416 595904 782124 893856 1042832 1564248 1787712 2085664 3128496 4171328 6256992 12513984