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12564041 = 72436789
BaseRepresentation
bin101111111011…
…011001001001
3212122022121212
4233323121021
511204022131
61125142505
7211535600
oct57733111
925568555
1012564041
117101606
12425aa35
1327ab959
141950a37
151182a2b
hexbfb649

12564041 has 24 divisors (see below), whose sum is σ = 15348960. Its totient is φ = 10245312.

The previous prime is 12564017. The next prime is 12564061. The reversal of 12564041 is 14046521.

It is not a de Polignac number, because 12564041 - 26 = 12563977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12563998 and 12564016.

It is not an unprimeable number, because it can be changed into a prime (12564001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141125 + ... + 141213.

It is an arithmetic number, because the mean of its divisors is an integer number (639540).

Almost surely, 212564041 is an apocalyptic number.

It is an amenable number.

12564041 is a deficient number, since it is larger than the sum of its proper divisors (2784919).

12564041 is an equidigital number, since it uses as much as digits as its factorization.

12564041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12564041 is about 3544.5791005421. The cubic root of 12564041 is about 232.4751027411.

The spelling of 12564041 in words is "twelve million, five hundred sixty-four thousand, forty-one".

Divisors: 1 7 43 49 67 89 301 469 623 2107 2881 3283 3827 4361 5963 20167 26789 41741 141169 187523 256409 292187 1794863 12564041