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12904320 = 2735111347
BaseRepresentation
bin110001001110…
…011110000000
3220021121101210
4301032132000
511300414240
61140330120
7214453632
oct61163600
926247353
1012904320
117314230
1243a3940
13289a7c0
1419dca52
1511ed780
hexc4e780

12904320 has 256 divisors, whose sum is σ = 49351680. Its totient is φ = 2826240.

The previous prime is 12904319. The next prime is 12904337. The reversal of 12904320 is 2340921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274537 + ... + 274583.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 212904320 is an apocalyptic number.

12904320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

12904320 is an abundant number, since it is smaller than the sum of its proper divisors (36447360).

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

12904320 is a wasteful number, since it uses less digits than its factorization.

12904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12904320 is about 3592.2583426029. The cubic root of 12904320 is about 234.5551869483. Note that the first 3 decimals are identical.

The spelling of 12904320 in words is "twelve million, nine hundred four thousand, three hundred twenty".