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12540928 = 21037331
BaseRepresentation
bin101111110101…
…110000000000
3212121010220211
4233311300000
511202302203
61124443504
7211411321
oct57656000
925533824
1012540928
117096204
124249594
1327a128a
141946448
15117ac6d
hexbf5c00

12540928 has 44 divisors (see below), whose sum is σ = 25824952. Its totient is φ = 6082560.

The previous prime is 12540881. The next prime is 12540937. The reversal of 12540928 is 82904521.

It is a self number, because there is not a number n which added to its sum of digits gives 12540928.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 37723 + ... + 38053.

Almost surely, 212540928 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 12540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912476).

12540928 is an abundant number, since it is smaller than the sum of its proper divisors (13284024).

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

12540928 is an equidigital number, since it uses as much as digits as its factorization.

12540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 12540928 is about 3541.3172690399. The cubic root of 12540928 is about 232.3324603304.

The spelling of 12540928 in words is "twelve million, five hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 331 512 592 662 1024 1184 1324 2368 2648 4736 5296 9472 10592 12247 18944 21184 24494 37888 42368 48988 84736 97976 169472 195952 338944 391904 783808 1567616 3135232 6270464 12540928