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11466 = 2327213
BaseRepresentation
bin10110011001010
3120201200
42303022
5331331
6125030
745300
oct26312
916650
1011466
118684
126776
1352b0
144270
1535e6
hex2cca

11466 has 36 divisors (see below), whose sum is σ = 31122. Its totient is φ = 3024.

The previous prime is 11447. The next prime is 11467. The reversal of 11466 is 66411.

Adding to 11466 its reverse (66411), we get a palindrome (77877).

Subtracting 11466 from its reverse (66411), we obtain a palindrome (54945).

11466 is nontrivially palindromic in base 12.

11466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 441 = 105^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11467) by changing a digit.

11466 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 17 ways as a sum of consecutive naturals, for example, 876 + ... + 888.

211466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561).

11466 is an abundant number, since it is smaller than the sum of its proper divisors (19656).

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

11466 is a wasteful number, since it uses less digits than its factorization.

11466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 25 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 11466 is about 107.0794097854. The cubic root of 11466 is about 22.5495205592.

The spelling of 11466 in words is "eleven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466