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18860 = 2252341
BaseRepresentation
bin100100110101100
3221212112
410212230
51100420
6223152
7105662
oct44654
927775
1018860
1113196
12aab8
13877a
146c32
1558c5
hex49ac

18860 has 24 divisors (see below), whose sum is σ = 42336. Its totient is φ = 7040.

The previous prime is 18859. The next prime is 18869. The reversal of 18860 is 6881.

18860 = 452 + 462 + ... + 522.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (18869) 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, 440 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

218860 is an apocalyptic number.

18860 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 18860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).

18860 is an abundant number, since it is smaller than the sum of its proper divisors (23476).

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

18860 is a wasteful number, since it uses less digits than its factorization.

18860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 18860 is about 137.3317152008. The cubic root of 18860 is about 26.6183151607.

18860 divided by its sum of digits (23) gives a triangular number (820 = T40).

It can be divided in two parts, 18 and 860, that added together give a palindrome (878).

The spelling of 18860 in words is "eighteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18860