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12268593 = 324612957
BaseRepresentation
bin101110110011…
…010000110001
3212002022100100
4232303100301
511120043333
61114543013
7206165331
oct56632061
925068310
1012268593
116a1a637
124137a69
13270732c
1418b50c1
151125213
hexbb3431

12268593 has 12 divisors (see below), whose sum is σ = 17765748. Its totient is φ = 8158560.

The previous prime is 12268589. The next prime is 12268601. The reversal of 12268593 is 39586221.

12268593 is a `hidden beast` number, since 1 + 2 + 2 + 68 + 593 = 666.

12268593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 9199089 = 1752^2 + 3033^2 .

It is not a de Polignac number, because 12268593 - 22 = 12268589 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12268573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2671 + ... + 5627.

It is an arithmetic number, because the mean of its divisors is an integer number (1480479).

Almost surely, 212268593 is an apocalyptic number.

It is an amenable number.

12268593 is a deficient number, since it is larger than the sum of its proper divisors (5497155).

12268593 is a wasteful number, since it uses less digits than its factorization.

12268593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3421 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12268593 is about 3502.6551357506. The cubic root of 12268593 is about 230.6383840030.

The spelling of 12268593 in words is "twelve million, two hundred sixty-eight thousand, five hundred ninety-three".

Divisors: 1 3 9 461 1383 2957 4149 8871 26613 1363177 4089531 12268593