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36387 = 3213311
BaseRepresentation
bin1000111000100011
31211220200
420320203
52131022
6440243
7211041
oct107043
954820
1036387
112537a
1219083
1313740
14d391
15abac
hex8e23

36387 has 12 divisors (see below), whose sum is σ = 56784. Its totient is φ = 22320.

The previous prime is 36383. The next prime is 36389. The reversal of 36387 is 78363.

It is a happy number.

It is not a de Polignac number, because 36387 - 22 = 36383 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 36387.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36387.

It is not an unprimeable number, because it can be changed into a prime (36383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

236387 is an apocalyptic number.

36387 is a deficient number, since it is larger than the sum of its proper divisors (20397).

36387 is a wasteful number, since it uses less digits than its factorization.

36387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 36387 is about 190.7537679838. The cubic root of 36387 is about 33.1371700861.

The spelling of 36387 in words is "thirty-six thousand, three hundred eighty-seven".

Divisors: 1 3 9 13 39 117 311 933 2799 4043 12129 36387