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18830 = 257269
BaseRepresentation
bin100100110001110
3221211102
410212032
51100310
6223102
7105620
oct44616
927742
1018830
1113169
12aa92
138756
146c10
1558a5
hex498e

18830 has 16 divisors (see below), whose sum is σ = 38880. Its totient is φ = 6432.

The previous prime is 18803. The next prime is 18839. The reversal of 18830 is 3881.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18839) by changing a digit.

18830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 65 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

218830 is an apocalyptic number.

18830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18830 is an abundant number, since it is smaller than the sum of its proper divisors (20050).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440).

18830 is a wasteful number, since it uses less digits than its factorization.

18830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 18830 is about 137.2224471433. Note that the first 3 decimals coincide. The cubic root of 18830 is about 26.6041940360.

It can be divided in two parts, 18 and 830, that added together give a palindrome (848).

The spelling of 18830 in words is "eighteen thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 269 538 1345 1883 2690 3766 9415 18830