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18280 = 235457
BaseRepresentation
bin100011101101000
3221002001
410131220
51041110
6220344
7104203
oct43550
927061
1018280
1112809
12a6b4
138422
14693a
15563a
hex4768

18280 has 16 divisors (see below), whose sum is σ = 41220. Its totient is φ = 7296.

The previous prime is 18269. The next prime is 18287. The reversal of 18280 is 8281.

18280 = T83 + T84 + ... + T87.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 324 = 134^2 + 18^2 .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (18287) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 189 + ... + 268.

218280 is an apocalyptic number.

18280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18280 is an abundant number, since it is smaller than the sum of its proper divisors (22940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610).

18280 is a wasteful number, since it uses less digits than its factorization.

18280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 18280 is about 135.2035502492. The cubic root of 18280 is about 26.3426056471.

Subtracting from 18280 its reverse (8281), we obtain a palindrome (9999).

It can be divided in two parts, 182 and 80, that added together give a palindrome (262).

The spelling of 18280 in words is "eighteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 457 914 1828 2285 3656 4570 9140 18280