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13085457 = 3711371531
BaseRepresentation
bin110001111010…
…101100010001
3220121210212120
4301322230101
511322213312
61144244453
7216140010
oct61725421
926553776
1013085457
117428330
124470729
132932098
141a48a77
15123728c
hexc7ab11

13085457 has 32 divisors (see below), whose sum is σ = 22354944. Its totient is φ = 6609600.

The previous prime is 13085453. The next prime is 13085483. The reversal of 13085457 is 75458031.

13085457 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13085457 - 22 = 13085453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13085453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7782 + ... + 9312.

It is an arithmetic number, because the mean of its divisors is an integer number (698592).

Almost surely, 213085457 is an apocalyptic number.

It is an amenable number.

13085457 is a deficient number, since it is larger than the sum of its proper divisors (9269487).

13085457 is a wasteful number, since it uses less digits than its factorization.

13085457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 13085457 is about 3617.3826173077. The cubic root of 13085457 is about 235.6475695746.

The spelling of 13085457 in words is "thirteen million, eighty-five thousand, four hundred fifty-seven".

Divisors: 1 3 7 11 21 33 37 77 111 231 259 407 777 1221 1531 2849 4593 8547 10717 16841 32151 50523 56647 117887 169941 353661 396529 623117 1189587 1869351 4361819 13085457