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18300 = 2235261
BaseRepresentation
bin100011101111100
3221002210
410131330
51041200
6220420
7104232
oct43574
927083
1018300
1112827
12a710
138439
146952
155650
hex477c

18300 has 36 divisors (see below), whose sum is σ = 53816. Its totient is φ = 4800.

The previous prime is 18289. The next prime is 18301. The reversal of 18300 is 381.

Adding to 18300 its reverse (381), we get a palindrome (18681).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 16.

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 (18301) by changing a digit.

18300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270 + ... + 330.

218300 is an apocalyptic number.

18300 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 18300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26908).

18300 is an abundant number, since it is smaller than the sum of its proper divisors (35516).

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

18300 is a wasteful number, since it uses less digits than its factorization.

18300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 18300 is about 135.2774925847. The cubic root of 18300 is about 26.3522092227.

The spelling of 18300 in words is "eighteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300