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18130 = 257237
BaseRepresentation
bin100011011010010
3220212111
410123102
51040010
6215534
7103600
oct43322
926774
1018130
1112692
12a5aa
138338
146870
15558a
hex46d2

18130 has 24 divisors (see below), whose sum is σ = 38988. Its totient is φ = 6048.

The previous prime is 18127. The next prime is 18131. The reversal of 18130 is 3181.

18130 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 17689 + 441 = 133^2 + 21^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 18130.

It is not an unprimeable number, because it can be changed into a prime (18131) 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 11 ways as a sum of consecutive naturals, for example, 472 + ... + 508.

218130 is an apocalyptic number.

18130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18130 is an abundant number, since it is smaller than the sum of its proper divisors (20858).

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 (19494).

18130 is a wasteful number, since it uses less digits than its factorization.

18130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 18130 is about 134.6476884317. The cubic root of 18130 is about 26.2703545831.

The spelling of 18130 in words is "eighteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 37 49 70 74 98 185 245 259 370 490 518 1295 1813 2590 3626 9065 18130