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12560640 = 28353271
BaseRepresentation
bin101111111010…
…100100000000
3212122010221220
4233322210000
511203420030
61125115040
7211522641
oct57724400
925563856
1012560640
1170a9aa4
124258a80
1327aa241
14194d6c8
151181a10
hexbfa900

12560640 has 72 divisors (see below), whose sum is σ = 40127808. Its totient is φ = 3348480.

The previous prime is 12560621. The next prime is 12560641. The reversal of 12560640 is 4606521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12560640.

It is not an unprimeable number, because it can be changed into a prime (12560641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2205 + ... + 5475.

Almost surely, 212560640 is an apocalyptic number.

12560640 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 12560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063904).

12560640 is an abundant number, since it is smaller than the sum of its proper divisors (27567168).

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

12560640 is an equidigital number, since it uses as much as digits as its factorization.

12560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12560640 is about 3544.0993214073. The cubic root of 12560640 is about 232.4541243745.

The spelling of 12560640 in words is "twelve million, five hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3271 3840 6542 9813 13084 16355 19626 26168 32710 39252 49065 52336 65420 78504 98130 104672 130840 157008 196260 209344 261680 314016 392520 418688 523360 628032 785040 837376 1046720 1256064 1570080 2093440 2512128 3140160 4186880 6280320 12560640