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11880 = 2333511
BaseRepresentation
bin10111001101000
3121022000
42321220
5340010
6131000
746431
oct27150
917260
1011880
118a20
126a60
13553b
144488
1537c0
hex2e68

11880 has 64 divisors (see below), whose sum is σ = 43200. Its totient is φ = 2880.

The previous prime is 11867. The next prime is 11887. The reversal of 11880 is 8811.

It is a happy number.

11880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1092-1.

It is a super-2 number, since 2×118802 = 282268800, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11887) by changing a digit.

11880 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 15 ways as a sum of consecutive naturals, for example, 1075 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

211880 is an apocalyptic number.

11880 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 11880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600).

11880 is an abundant number, since it is smaller than the sum of its proper divisors (31320).

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

11880 is a wasteful number, since it uses less digits than its factorization.

11880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 21 counting only the distinct ones).

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

The square root of 11880 is about 108.9954127475. The cubic root of 11880 is about 22.8177147646.

It can be divided in two parts, 1 and 1880, that added together give a palindrome (1881).

The spelling of 11880 in words is "eleven thousand, eight hundred eighty".