Search a number
-
+
18312 = 2337109
BaseRepresentation
bin100011110001000
3221010020
410132020
51041222
6220440
7104250
oct43610
927106
1018312
1112838
12a720
138448
146960
15565c
hex4788

18312 has 32 divisors (see below), whose sum is σ = 52800. Its totient is φ = 5184.

The previous prime is 18311. The next prime is 18313. The reversal of 18312 is 21381.

Adding to 18312 its reverse (21381), we get a palindrome (39693).

It is a happy number.

18312 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (18311) and next prime (18313).

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

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 18291 and 18300.

It is not an unprimeable number, because it can be changed into a prime (18311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (1650).

218312 is an apocalyptic number.

18312 is a gapful number since it is divisible by the number (12) 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 18312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26400).

18312 is an abundant number, since it is smaller than the sum of its proper divisors (34488).

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

18312 is a wasteful number, since it uses less digits than its factorization.

18312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

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

The square root of 18312 is about 135.3218385923. The cubic root of 18312 is about 26.3579680099.

The spelling of 18312 in words is "eighteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 436 654 763 872 1308 1526 2289 2616 3052 4578 6104 9156 18312