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87564 = 2237297
BaseRepresentation
bin10101011000001100
311110010010
4111120030
510300224
61513220
7513201
oct253014
9143103
1087564
115a874
1242810
1330b19
1423ca8
151ae29
hex1560c

87564 has 12 divisors (see below), whose sum is σ = 204344. Its totient is φ = 29184.

The previous prime is 87559. The next prime is 87583. The reversal of 87564 is 46578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3637 + ... + 3660.

287564 is an apocalyptic number.

It is an amenable number.

87564 is an abundant number, since it is smaller than the sum of its proper divisors (116780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102172).

87564 is a wasteful number, since it uses less digits than its factorization.

87564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7302 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 87564 is about 295.9121491254. The cubic root of 87564 is about 44.4060214218.

It can be divided in two parts, 875 and 64, that added together give a palindrome (939).

The spelling of 87564 in words is "eighty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 7297 14594 21891 29188 43782 87564