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13076 = 227467
BaseRepresentation
bin11001100010100
3122221022
43030110
5404301
6140312
753060
oct31424
918838
1013076
119908
127698
135c4b
144aa0
153d1b
hex3314

13076 has 12 divisors (see below), whose sum is σ = 26208. Its totient is φ = 5592.

The previous prime is 13063. The next prime is 13093. The reversal of 13076 is 67031.

13076 = T63 + T64 + ... + T68.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13076.

It is an unprimeable number.

13076 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

213076 is an apocalyptic number.

It is an amenable number.

13076 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

13076 is a wasteful number, since it uses less digits than its factorization.

13076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13076 is about 114.3503388714. The cubic root of 13076 is about 23.5590787552.

The spelling of 13076 in words is "thirteen thousand, seventy-six".

Divisors: 1 2 4 7 14 28 467 934 1868 3269 6538 13076