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12938976 = 253244927
BaseRepresentation
bin110001010110…
…111011100000
3220100100221100
4301112323200
511303021401
61141154400
7214656651
oct61267340
926310840
1012938976
117338276
1243bba00
1328b04cb
141a0b528
151208b86
hexc56ee0

12938976 has 36 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 4312896.

The previous prime is 12938971. The next prime is 12938983. The reversal of 12938976 is 67983921.

12938976 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12938971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22176 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 212938976 is an apocalyptic number.

12938976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12938976 is an abundant number, since it is smaller than the sum of its proper divisors (23857056).

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

12938976 is a wasteful number, since it uses less digits than its factorization.

12938976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44943 (or 44932 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 12938976 is about 3597.0788148163. The cubic root of 12938976 is about 234.7649740199.

The spelling of 12938976 in words is "twelve million, nine hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44927 89854 134781 179708 269562 359416 404343 539124 718832 808686 1078248 1437664 1617372 2156496 3234744 4312992 6469488 12938976