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18040 = 2351141
BaseRepresentation
bin100011001111000
3220202011
410121320
51034130
6215304
7103411
oct43170
926664
1018040
1112610
12a534
138299
146808
15552a
hex4678

18040 has 32 divisors (see below), whose sum is σ = 45360. Its totient is φ = 6400.

The previous prime is 18013. The next prime is 18041. The reversal of 18040 is 4081.

18040 = T29 + T30 + ... + T50.

18040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

18040 is strictly pandigital in base 6.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 18040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18041) 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 7 ways as a sum of consecutive naturals, for example, 420 + ... + 460.

218040 is an apocalyptic number.

18040 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 18040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680).

18040 is an abundant number, since it is smaller than the sum of its proper divisors (27320).

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

18040 is a wasteful number, since it uses less digits than its factorization.

18040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 18040 is about 134.3130671230. The cubic root of 18040 is about 26.2268124791.

The spelling of 18040 in words is "eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 18040