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12660 = 2235211
BaseRepresentation
bin11000101110100
3122100220
43011310
5401120
6134340
751624
oct30564
918326
1012660
11956a
1273b0
1359bb
144884
153b40
hex3174

12660 has 24 divisors (see below), whose sum is σ = 35616. Its totient is φ = 3360.

The previous prime is 12659. The next prime is 12671. The reversal of 12660 is 6621.

12660 is nontrivially palindromic in base 14.

12660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

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 12660.

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, 46 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1484).

212660 is an apocalyptic number.

12660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12660 is an abundant number, since it is smaller than the sum of its proper divisors (22956).

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 (17808).

12660 is a wasteful number, since it uses less digits than its factorization.

12660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12660 is about 112.5166654323. The cubic root of 12660 is about 23.3065452211.

The spelling of 12660 in words is "twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 211 422 633 844 1055 1266 2110 2532 3165 4220 6330 12660