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12937008 = 2437139277
BaseRepresentation
bin110001010110…
…011100110000
3220100021020110
4301112130300
511302441013
61141141320
7214651140
oct61263460
926307213
1012937008
117336847
1243ba840
1328ac646
141a0a920
1512082c3
hexc56730

12937008 has 80 divisors (see below), whose sum is σ = 38608640. Its totient is φ = 3656448.

The previous prime is 12937007. The next prime is 12937019. The reversal of 12937008 is 80073921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46566 + ... + 46842.

It is an arithmetic number, because the mean of its divisors is an integer number (482608).

Almost surely, 212937008 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 12937008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304320).

12937008 is an abundant number, since it is smaller than the sum of its proper divisors (25671632).

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

12937008 is a wasteful number, since it uses less digits than its factorization.

12937008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12937008 is about 3596.8052491065. The cubic root of 12937008 is about 234.7530709426.

The spelling of 12937008 in words is "twelve million, nine hundred thirty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 277 278 336 417 554 556 831 834 973 1108 1112 1662 1668 1939 1946 2216 2224 2919 3324 3336 3878 3892 4432 5817 5838 6648 6672 7756 7784 11634 11676 13296 15512 15568 23268 23352 31024 38503 46536 46704 77006 93072 115509 154012 231018 269521 308024 462036 539042 616048 808563 924072 1078084 1617126 1848144 2156168 3234252 4312336 6468504 12937008