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12490640 = 245433631
BaseRepresentation
bin101111101001…
…011110010000
3212111120221022
4233221132100
511144200030
61123415012
7211111601
oct57513620
925446838
1012490640
117061448
124224468
132784416
141931da8
15116ade5
hexbe9790

12490640 has 40 divisors (see below), whose sum is σ = 29724288. Its totient is φ = 4878720.

The previous prime is 12490627. The next prime is 12490663. The reversal of 12490640 is 4609421.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1625 + ... + 5255.

Almost surely, 212490640 is an apocalyptic number.

12490640 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 12490640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14862144).

12490640 is an abundant number, since it is smaller than the sum of its proper divisors (17233648).

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

12490640 is a wasteful number, since it uses less digits than its factorization.

12490640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12490640 is about 3534.2099541482. The cubic root of 12490640 is about 232.0215001874.

The spelling of 12490640 in words is "twelve million, four hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 3631 7262 14524 18155 29048 36310 58096 72620 145240 156133 290480 312266 624532 780665 1249064 1561330 2498128 3122660 6245320 12490640