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12904704 = 28331867
BaseRepresentation
bin110001001110…
…100100000000
3220021121221000
4301032210000
511300422304
61140332000
7214455021
oct61164400
926247830
1012904704
11731454a
1243a4000
13289aa27
1419dcc48
1511ed939
hexc4e900

12904704 has 72 divisors (see below), whose sum is σ = 38181920. Its totient is φ = 4299264.

The previous prime is 12904693. The next prime is 12904763. The reversal of 12904704 is 40740921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5979 + ... + 7845.

Almost surely, 212904704 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 12904704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19090960).

12904704 is an abundant number, since it is smaller than the sum of its proper divisors (25277216).

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

12904704 is an equidigital number, since it uses as much as digits as its factorization.

12904704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12904704 is about 3592.3117904770. The cubic root of 12904704 is about 234.5575135154.

The spelling of 12904704 in words is "twelve million, nine hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 1867 2304 3456 3734 5601 6912 7468 11202 14936 16803 22404 29872 33606 44808 50409 59744 67212 89616 100818 119488 134424 179232 201636 238976 268848 358464 403272 477952 537696 716928 806544 1075392 1433856 1613088 2150784 3226176 4301568 6452352 12904704