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13682585 = 57232739
BaseRepresentation
bin110100001100…
…011110011001
3221202010222102
4310030132121
512000320320
61205133145
7224204630
oct64143631
927663872
1013682585
1177a5a24
1246ba1b5
132ab0b07
141b62517
151304175
hexd0c799

13682585 has 24 divisors (see below), whose sum is σ = 19642560. Its totient is φ = 8962272.

The previous prime is 13682579. The next prime is 13682587. The reversal of 13682585 is 58528631.

13682585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13682585 - 28 = 13682329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13682587) 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, 18146 + ... + 18884.

It is an arithmetic number, because the mean of its divisors is an integer number (818440).

Almost surely, 213682585 is an apocalyptic number.

It is an amenable number.

13682585 is a deficient number, since it is larger than the sum of its proper divisors (5959975).

13682585 is an equidigital number, since it uses as much as digits as its factorization.

13682585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 774 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 13682585 is about 3698.9978372527. The cubic root of 13682585 is about 239.1788196236.

The spelling of 13682585 in words is "thirteen million, six hundred eighty-two thousand, five hundred eighty-five".

Divisors: 1 5 7 23 35 115 161 529 739 805 2645 3695 3703 5173 16997 18515 25865 84985 118979 390931 594895 1954655 2736517 13682585