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BaseRepresentation
bin1110010110
31021000
432112
512133
64130
72451
oct1626
91230
10918
11765
12646
13558
14498
15413
hex396

918 has 16 divisors (see below), whose sum is σ = 2160. Its totient is φ = 288.

The previous prime is 911. The next prime is 919. The reversal of 918 is 819.

918 is nontrivially palindromic in base 12.

918 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

918 is an undulating number in base 12.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (911) 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, 46 + ... + 62.

It is an arithmetic number, because the mean of its divisors is an integer number (135).

It is a practical number, because each smaller number is the sum of distinct divisors of 918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080).

918 is an abundant number, since it is smaller than the sum of its proper divisors (1242).

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

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

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

The sum of its prime factors is 28 (or 22 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 918 is about 30.2985148151. The cubic root of 918 is about 9.7188354038.

Subtracting from 918 its sum of digits (18), we obtain a square (900 = 302).

Adding to 918 its product of digits (72), we get a triangular number (990 = T44).

Subtracting from 918 its reverse (819), we obtain a palindrome (99).

It can be divided in two parts, 91 and 8, that added together give a palindrome (99).

The spelling of 918 in words is "nine hundred eighteen", and thus it is an aban number and an oban number.

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918