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13088 = 25409
BaseRepresentation
bin11001100100000
3122221202
43030200
5404323
6140332
753105
oct31440
918852
1013088
119919
1276a8
135c5a
144aac
153d28
hex3320

13088 has 12 divisors (see below), whose sum is σ = 25830. Its totient is φ = 6528.

The previous prime is 13063. The next prime is 13093. The reversal of 13088 is 88031.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 4624 = 92^2 + 68^2 .

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173 + ... + 236.

213088 is an apocalyptic number.

It is an amenable number.

13088 is a deficient number, since it is larger than the sum of its proper divisors (12742).

13088 is an equidigital number, since it uses as much as digits as its factorization.

13088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 13088 is about 114.4027971686. The cubic root of 13088 is about 23.5662833669.

The spelling of 13088 in words is "thirteen thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 409 818 1636 3272 6544 13088