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12904832 = 27412459
BaseRepresentation
bin110001001110…
…100110000000
3220021122002202
4301032212000
511300423312
61140332332
7214455263
oct61164600
926248082
1012904832
117314656
1243a40a8
13289aac5
1419dccda
1511ed9c2
hexc4e980

12904832 has 32 divisors (see below), whose sum is σ = 26346600. Its totient is φ = 6292480.

The previous prime is 12904813. The next prime is 12904841. The reversal of 12904832 is 23840921.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12904795 and 12904804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4019 + ... + 6477.

Almost surely, 212904832 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 12904832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173300).

12904832 is an abundant number, since it is smaller than the sum of its proper divisors (13441768).

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

12904832 is an equidigital number, since it uses as much as digits as its factorization.

12904832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 12904832 is about 3592.3296062583. The cubic root of 12904832 is about 234.5582890275.

The spelling of 12904832 in words is "twelve million, nine hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2459 2624 4918 5248 9836 19672 39344 78688 100819 157376 201638 314752 403276 806552 1613104 3226208 6452416 12904832