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BaseRepresentation
bin10110100101100
3120212022
42310230
5332224
6125312
745500
oct26454
916768
1011564
118763
126838
135357
144300
15365e
hex2d2c

11564 has 18 divisors (see below), whose sum is σ = 23940. Its totient is φ = 4872.

The previous prime is 11551. The next prime is 11579. The reversal of 11564 is 46511.

It can be divided in two parts, 1156 and 4, that multiplied together give a square (4624 = 682).

It is a happy number.

11564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11 and base 14.

It is an unprimeable number.

11564 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 167 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

211564 is an apocalyptic number.

11564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970).

11564 is an abundant number, since it is smaller than the sum of its proper divisors (12376).

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

11564 is a wasteful number, since it uses less digits than its factorization.

11564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 68 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 11564 is about 107.5360404702. The cubic root of 11564 is about 22.6135820413.

The spelling of 11564 in words is "eleven thousand, five hundred sixty-four".