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11660 = 2251153
BaseRepresentation
bin10110110001100
3120222212
42312030
5333120
6125552
745665
oct26614
916885
1011660
118840
1268b8
1353cc
14436c
1536c5
hex2d8c

11660 has 24 divisors (see below), whose sum is σ = 27216. Its totient is φ = 4160.

The previous prime is 11657. The next prime is 11677. The reversal of 11660 is 6611.

It can be divided in two parts, 11 and 660, that multiplied together give a triangular number (7260 = T120).

11660 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.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11660.

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 7 ways as a sum of consecutive naturals, for example, 194 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

211660 is an apocalyptic number.

11660 is a gapful number since it is divisible by the number (10) 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 11660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608).

11660 is an abundant number, since it is smaller than the sum of its proper divisors (15556).

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

11660 is a wasteful number, since it uses less digits than its factorization.

11660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 11660 is about 107.9814798935. The cubic root of 11660 is about 22.6759861716.

The spelling of 11660 in words is "eleven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660