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18288 = 2432127
BaseRepresentation
bin100011101110000
3221002100
410131300
51041123
6220400
7104214
oct43560
927070
1018288
1112816
12a700
13842a
146944
155643
hex4770

18288 has 30 divisors (see below), whose sum is σ = 51584. Its totient is φ = 6048.

The previous prime is 18287. The next prime is 18289. The reversal of 18288 is 88281.

It is an interprime number because it is at equal distance from previous prime (18287) and next prime (18289).

It is a nude number because it is divisible by every one of its digits.

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 (18287) 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 5 ways as a sum of consecutive naturals, for example, 81 + ... + 207.

218288 is an apocalyptic number.

18288 is a gapful number since it is divisible by the number (18) 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 18288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25792).

18288 is an abundant number, since it is smaller than the sum of its proper divisors (33296).

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

18288 is a wasteful number, since it uses less digits than its factorization.

18288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 18288 is about 135.2331320350. The cubic root of 18288 is about 26.3464479175.

It can be divided in two parts, 18 and 288, that multiplied together give a square (5184 = 722).

The spelling of 18288 in words is "eighteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 18288