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18060 = 2235743
BaseRepresentation
bin100011010001100
3220202220
410122030
51034220
6215340
7103440
oct43214
926686
1018060
1112629
12a550
1382b3
146820
155540
hex468c

18060 has 48 divisors (see below), whose sum is σ = 59136. Its totient is φ = 4032.

The previous prime is 18059. The next prime is 18061. The reversal of 18060 is 6081.

18060 = T13 + T14 + ... + T47.

18060 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (18059) and next prime (18061).

It is a Harshad number since it is a multiple of its sum of digits (15).

18060 is strictly pandigital in base 6.

It is a plaindrome in base 16.

It is a nialpdrome in base 12 and base 15.

It is not an unprimeable number, because it can be changed into a prime (18061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (1232).

218060 is an apocalyptic number.

18060 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 18060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29568).

18060 is an abundant number, since it is smaller than the sum of its proper divisors (41076).

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

18060 is a wasteful number, since it uses less digits than its factorization.

18060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 18060 is about 134.3874994187. The cubic root of 18060 is about 26.2365009959.

The spelling of 18060 in words is "eighteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060