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11808 = 253241
BaseRepresentation
bin10111000100000
3121012100
42320200
5334213
6130400
746266
oct27040
917170
1011808
118965
126a00
1354b4
144436
153773
hex2e20

11808 has 36 divisors (see below), whose sum is σ = 34398. Its totient is φ = 3840.

The previous prime is 11807. The next prime is 11813. The reversal of 11808 is 80811.

It is a happy number.

11808 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 144 = 108^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (11801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 268 + ... + 308.

211808 is an apocalyptic number.

11808 is a gapful number since it is divisible by the number (18) 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 11808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199).

11808 is an abundant number, since it is smaller than the sum of its proper divisors (22590).

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

11808 is a wasteful number, since it uses less digits than its factorization.

11808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11808 is about 108.6646216576. The cubic root of 11808 is about 22.7715249323.

11808 divided by its sum of digits (18) gives a palindrome (656).

It can be divided in two parts, 11 and 808, that multiplied together give a palindrome (8888).

The spelling of 11808 in words is "eleven thousand, eight hundred eight".