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12890304 = 2632723139
BaseRepresentation
bin110001001011…
…000011000000
3220020220011200
4301023003000
511244442204
61140141200
7214365030
oct61130300
926226150
1012890304
117304749
124397800
1328942cb
1419d78c0
1511e9539
hexc4b0c0

12890304 has 168 divisors, whose sum is σ = 44378880. Its totient is φ = 3497472.

The previous prime is 12890299. The next prime is 12890321. The reversal of 12890304 is 40309821.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92667 + ... + 92805.

It is an arithmetic number, because the mean of its divisors is an integer number (264160).

Almost surely, 212890304 is an apocalyptic number.

12890304 is a gapful number since it is divisible by the number (14) 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 12890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

12890304 is an abundant number, since it is smaller than the sum of its proper divisors (31488576).

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

12890304 is a wasteful number, since it uses less digits than its factorization.

12890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12890304 is about 3590.3069506659. The cubic root of 12890304 is about 234.4702356435.

The spelling of 12890304 in words is "twelve million, eight hundred ninety thousand, three hundred four".