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12904 = 231613
BaseRepresentation
bin11001001101000
3122200221
43021220
5403104
6135424
752423
oct31150
918627
1012904
119771
127574
135b48
1449ba
153c54
hex3268

12904 has 8 divisors (see below), whose sum is σ = 24210. Its totient is φ = 6448.

The previous prime is 12899. The next prime is 12907. The reversal of 12904 is 40921.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 2500 = 102^2 + 50^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 799 + ... + 814.

212904 is an apocalyptic number.

It is an amenable number.

12904 is a deficient number, since it is larger than the sum of its proper divisors (11306).

12904 is a wasteful number, since it uses less digits than its factorization.

12904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12904 is about 113.5957745693. The cubic root of 12904 is about 23.4553248107.

The spelling of 12904 in words is "twelve thousand, nine hundred four".

Divisors: 1 2 4 8 1613 3226 6452 12904