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13586085 = 325301913
BaseRepresentation
bin110011110100…
…111010100101
3221120020121100
4303310322211
511434223320
61203110313
7223323402
oct63647245
927506540
1013586085
11773a477
124672399
132a78c06
141b392a9
1512d5790
hexcf4ea5

13586085 has 12 divisors (see below), whose sum is σ = 23549292. Its totient is φ = 7245888.

The previous prime is 13586057. The next prime is 13586093. The reversal of 13586085 is 58068531.

13586085 is digitally balanced in base 3, 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 9771876 + 3814209 = 3126^2 + 1953^2 .

It is not a de Polignac number, because 13586085 - 29 = 13585573 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150912 + ... + 151001.

It is an arithmetic number, because the mean of its divisors is an integer number (1962441).

Almost surely, 213586085 is an apocalyptic number.

13586085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13586085 is a deficient number, since it is larger than the sum of its proper divisors (9963207).

13586085 is a wasteful number, since it uses less digits than its factorization.

13586085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301924 (or 301921 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 13586085 is about 3685.9306830162. The cubic root of 13586085 is about 238.6152021804.

The spelling of 13586085 in words is "thirteen million, five hundred eighty-six thousand, eighty-five".

Divisors: 1 3 5 9 15 45 301913 905739 1509565 2717217 4528695 13586085