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13039 = 131759
BaseRepresentation
bin11001011101111
3122212221
43023233
5404124
6140211
753005
oct31357
918787
1013039
119884
127667
135c20
144a75
153ce4
hex32ef

13039 has 8 divisors (see below), whose sum is σ = 15120. Its totient is φ = 11136.

The previous prime is 13037. The next prime is 13043. The reversal of 13039 is 93031.

It is a happy number.

13039 is nontrivially palindromic in base 3 and base 12.

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 13039 - 21 = 13037 is a prime.

It is a Duffinian number.

13039 is a modest number, since divided by 39 gives 13 as remainder.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 250.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

213039 is an apocalyptic number.

13039 is a deficient number, since it is larger than the sum of its proper divisors (2081).

13039 is a wasteful number, since it uses less digits than its factorization.

13039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 13039 is about 114.1884407460. The cubic root of 13039 is about 23.5368367498.

It can be divided in two parts, 130 and 39, that added together give a square (169 = 132).

The spelling of 13039 in words is "thirteen thousand, thirty-nine".

Divisors: 1 13 17 59 221 767 1003 13039