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108992 = 2613131
BaseRepresentation
bin11010100111000000
312112111202
4122213000
511441432
62200332
7632522
oct324700
9175452
10108992
1174984
12530a8
133a7c0
142ba12
1522462
hex1a9c0

108992 has 28 divisors (see below), whose sum is σ = 234696. Its totient is φ = 49920.

The previous prime is 108991. The next prime is 109001. The reversal of 108992 is 299801.

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 108992.

It is not an unprimeable number, because it can be changed into a prime (108991) 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 3 ways as a sum of consecutive naturals, for example, 767 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (8382).

2108992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117348).

108992 is an abundant number, since it is smaller than the sum of its proper divisors (125704).

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

108992 is a wasteful number, since it uses less digits than its factorization.

108992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 108992 is about 330.1393645114. The cubic root of 108992 is about 47.7673931319.

It can be divided in two parts, 10899 and 2, that added together give a palindrome (10901).

The spelling of 108992 in words is "one hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 131 208 262 416 524 832 1048 1703 2096 3406 4192 6812 8384 13624 27248 54496 108992