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12490968 = 2337149499
BaseRepresentation
bin101111101001…
…100011011000
3212111121101110
4233221203120
511144202333
61123420320
7211112550
oct57514330
925447343
1012490968
117061716
1242246a0
132784609
141932160
15116b063
hexbe98d8

12490968 has 64 divisors (see below), whose sum is σ = 36000000. Its totient is φ = 3537792.

The previous prime is 12490963. The next prime is 12490969. The reversal of 12490968 is 86909421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12490963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24783 + ... + 25281.

It is an arithmetic number, because the mean of its divisors is an integer number (562500).

Almost surely, 212490968 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 12490968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000000).

12490968 is an abundant number, since it is smaller than the sum of its proper divisors (23509032).

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

12490968 is a wasteful number, since it uses less digits than its factorization.

12490968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 12490968 is about 3534.2563574251. The cubic root of 12490968 is about 232.0235311051.

The spelling of 12490968 in words is "twelve million, four hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 499 596 894 998 1043 1192 1497 1788 1996 2086 2994 3129 3493 3576 3992 4172 5988 6258 6986 8344 10479 11976 12516 13972 20958 25032 27944 41916 74351 83832 148702 223053 297404 446106 520457 594808 892212 1040914 1561371 1784424 2081828 3122742 4163656 6245484 12490968