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9918 = 2321929
BaseRepresentation
bin10011010111110
3111121100
42122332
5304133
6113530
740626
oct23276
914540
109918
1174a7
1258a6
13468c
143886
152e13
hex26be

9918 has 24 divisors (see below), whose sum is σ = 23400. Its totient is φ = 3024.

The previous prime is 9907. The next prime is 9923. The reversal of 9918 is 8199.

It can be divided in two parts, 991 and 8, that added together give a palindrome (999).

It is a plaindrome in base 13 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 9891 and 9900.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9918.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (975).

29918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700).

9918 is an abundant number, since it is smaller than the sum of its proper divisors (13482).

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

9918 is a wasteful number, since it uses less digits than its factorization.

9918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 53 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 9918 is about 99.5891560362. The cubic root of 9918 is about 21.4852973213.

The spelling of 9918 in words is "nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 9918