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13287 = 343103
BaseRepresentation
bin11001111100111
3200020010
43033213
5411122
6141303
753511
oct31747
920203
1013287
119a8a
127833
136081
144bb1
153e0c
hex33e7

13287 has 8 divisors (see below), whose sum is σ = 18304. Its totient is φ = 8568.

The previous prime is 13267. The next prime is 13291. The reversal of 13287 is 78231.

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

It is not a de Polignac number, because 13287 - 27 = 13159 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

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 13287.

It is not an unprimeable number, because it can be changed into a prime (13217) 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, 78 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (2288).

213287 is an apocalyptic number.

13287 is a deficient number, since it is larger than the sum of its proper divisors (5017).

13287 is a wasteful number, since it uses less digits than its factorization.

13287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149.

The product of its digits is 336, while the sum is 21.

The square root of 13287 is about 115.2692500192. The cubic root of 13287 is about 23.6851230318.

It can be divided in two parts, 13 and 287, that added together give a triangular number (300 = T24).

The spelling of 13287 in words is "thirteen thousand, two hundred eighty-seven".

Divisors: 1 3 43 103 129 309 4429 13287