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13086431 = 109211569
BaseRepresentation
bin110001111010…
…111011011111
3220121212012122
4301322323133
511322231211
61144253155
7216142601
oct61727337
926555178
1013086431
117429036
1244711bb
132932667
141a49171
1512376db
hexc7aedf

13086431 has 8 divisors (see below), whose sum is σ = 13292400. Its totient is φ = 12882240.

The previous prime is 13086427. The next prime is 13086449. The reversal of 13086431 is 13468031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13086431 - 22 = 13086427 is a prime.

It is a super-3 number, since 3×130864313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13086431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13086131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22715 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (1661550).

Almost surely, 213086431 is an apocalyptic number.

13086431 is a deficient number, since it is larger than the sum of its proper divisors (205969).

13086431 is a wasteful number, since it uses less digits than its factorization.

13086431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13086431 is about 3617.5172425297. The cubic root of 13086431 is about 235.6534161424.

The spelling of 13086431 in words is "thirteen million, eighty-six thousand, four hundred thirty-one".

Divisors: 1 109 211 569 22999 62021 120059 13086431