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12604960 = 25578781
BaseRepresentation
bin110000000101…
…011000100000
3212201101202101
4300011120200
511211324320
61130100144
7212066104
oct60053040
925641671
1012604960
11712a325
12427a654
1327c4474
141961904
15118ec0a
hexc05620

12604960 has 24 divisors (see below), whose sum is σ = 29779596. Its totient is φ = 5041920.

The previous prime is 12604957. The next prime is 12604967. The reversal of 12604960 is 6940621.

It can be written as a sum of positive squares in 2 ways, for example, as 11751184 + 853776 = 3428^2 + 924^2 .

It is not an unprimeable number, because it can be changed into a prime (12604967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39231 + ... + 39550.

Almost surely, 212604960 is an apocalyptic number.

12604960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12604960 is an abundant number, since it is smaller than the sum of its proper divisors (17174636).

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

12604960 is an equidigital number, since it uses as much as digits as its factorization.

12604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78796 (or 78788 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12604960 is about 3550.3464619668. The cubic root of 12604960 is about 232.7272068833.

The spelling of 12604960 in words is "twelve million, six hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 78781 157562 315124 393905 630248 787810 1260496 1575620 2520992 3151240 6302480 12604960