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12490896 = 2431141577
BaseRepresentation
bin101111101001…
…100010010000
3212111121021210
4233221202100
511144202041
61123420120
7211112415
oct57514220
925447253
1012490896
117061660
124224640
132784582
14193210c
15116b016
hexbe9890

12490896 has 80 divisors (see below), whose sum is σ = 36122688. Its totient is φ = 3686400.

The previous prime is 12490879. The next prime is 12490921. The reversal of 12490896 is 69809421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21360 + ... + 21936.

Almost surely, 212490896 is an apocalyptic number.

12490896 is a gapful number since it is divisible by the number (16) 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 12490896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061344).

12490896 is an abundant number, since it is smaller than the sum of its proper divisors (23631792).

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

12490896 is a wasteful number, since it uses less digits than its factorization.

12490896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

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

The square root of 12490896 is about 3534.2461713921. The cubic root of 12490896 is about 232.0230852969.

The spelling of 12490896 in words is "twelve million, four hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 577 656 902 984 1154 1353 1731 1804 1968 2308 2706 3462 3608 4616 5412 6347 6924 7216 9232 10824 12694 13848 19041 21648 23657 25388 27696 38082 47314 50776 70971 76164 94628 101552 141942 152328 189256 260227 283884 304656 378512 520454 567768 780681 1040908 1135536 1561362 2081816 3122724 4163632 6245448 12490896