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18880 = 26559
BaseRepresentation
bin100100111000000
3221220021
410213000
51101010
6223224
7106021
oct44700
927807
1018880
1113204
12ab14
138794
146c48
1558da
hex49c0

18880 has 28 divisors (see below), whose sum is σ = 45720. Its totient is φ = 7424.

The previous prime is 18869. The next prime is 18899. The reversal of 18880 is 8881.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 291 + ... + 349.

218880 is an apocalyptic number.

18880 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 18880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860).

18880 is an abundant number, since it is smaller than the sum of its proper divisors (26840).

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

18880 is an equidigital number, since it uses as much as digits as its factorization.

18880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 18880 is about 137.4045122985. The cubic root of 18880 is about 26.6277209266.

Subtracting from 18880 its reverse (8881), we obtain a palindrome (9999).

It can be divided in two parts, 18 and 880, that added together give a palindrome (898).

The spelling of 18880 in words is "eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1888 2360 3776 4720 9440 18880