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12928641 = 311401977
BaseRepresentation
bin110001010100…
…011010000001
3220022211202120
4301110122001
511302204031
61141034453
7214614555
oct61243201
926284676
1012928641
117330530
1243b5a29
1328a88ab
141a07865
151205a96
hexc54681

12928641 has 16 divisors (see below), whose sum is σ = 18871488. Its totient is φ = 7808000.

The previous prime is 12928637. The next prime is 12928673. The reversal of 12928641 is 14682921.

It is a cyclic number.

It is not a de Polignac number, because 12928641 - 22 = 12928637 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12928621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12745 + ... + 13721.

It is an arithmetic number, because the mean of its divisors is an integer number (1179468).

Almost surely, 212928641 is an apocalyptic number.

12928641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12928641 is a deficient number, since it is larger than the sum of its proper divisors (5942847).

12928641 is a wasteful number, since it uses less digits than its factorization.

12928641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392.

The product of its digits is 6912, while the sum is 33.

The square root of 12928641 is about 3595.6419454668. The cubic root of 12928641 is about 234.7024512388.

The spelling of 12928641 in words is "twelve million, nine hundred twenty-eight thousand, six hundred forty-one".

Divisors: 1 3 11 33 401 977 1203 2931 4411 10747 13233 32241 391777 1175331 4309547 12928641