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13959 = 331147
BaseRepresentation
bin11011010000111
3201011000
43122013
5421314
6144343
755461
oct33207
921130
1013959
11a540
1280b3
13647a
145131
154209
hex3687

13959 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 8280.

The previous prime is 13933. The next prime is 13963. The reversal of 13959 is 95931.

13959 = 73 + 83 + ... + 153.

It is not a de Polignac number, because 13959 - 27 = 13831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a house number.

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 (13999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274 + ... + 320.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

213959 is an apocalyptic number.

13959 is a deficient number, since it is larger than the sum of its proper divisors (9081).

13959 is a wasteful number, since it uses less digits than its factorization.

13959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 13959 is about 118.1482120051. The cubic root of 13959 is about 24.0778720577.

The spelling of 13959 in words is "thirteen thousand, nine hundred fifty-nine".

Divisors: 1 3 9 11 27 33 47 99 141 297 423 517 1269 1551 4653 13959