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18080 = 255113
BaseRepresentation
bin100011010100000
3220210122
410122200
51034310
6215412
7103466
oct43240
926718
1018080
1112647
12a568
1382ca
146836
155555
hex46a0

18080 has 24 divisors (see below), whose sum is σ = 43092. Its totient is φ = 7168.

The previous prime is 18077. The next prime is 18089. The reversal of 18080 is 8081.

Subtracting from 18080 its reverse (8081), we obtain a palindrome (9999).

It can be divided in two parts, 180 and 80, that multiplied together give a square (14400 = 1202).

It is a happy number.

18080 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 2704 = 124^2 + 52^2 .

18080 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (18089) 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 3 ways as a sum of consecutive naturals, for example, 104 + ... + 216.

218080 is an apocalyptic number.

18080 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 18080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546).

18080 is an abundant number, since it is smaller than the sum of its proper divisors (25012).

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

18080 is a wasteful number, since it uses less digits than its factorization.

18080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 18080 is about 134.4618905118. The cubic root of 18080 is about 26.2461823624.

The spelling of 18080 in words is "eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080