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108332 = 2275373
BaseRepresentation
bin11010011100101100
312111121022
4122130230
511431312
62153312
7630560
oct323454
9174538
10108332
1174434
1252838
133a403
142b6a0
1522172
hex1a72c

108332 has 24 divisors (see below), whose sum is σ = 223776. Its totient is φ = 44928.

The previous prime is 108301. The next prime is 108343. The reversal of 108332 is 233801.

108332 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a self number, because there is not a number n which added to its sum of digits gives 108332.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108332.

It is an unprimeable number.

108332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1448 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2108332 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 108332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888).

108332 is an abundant number, since it is smaller than the sum of its proper divisors (115444).

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

108332 is a wasteful number, since it uses less digits than its factorization.

108332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 108332 is about 329.1382688172. The cubic root of 108332 is about 47.6707795257.

The spelling of 108332 in words is "one hundred eight thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 73 106 146 212 292 371 511 742 1022 1484 2044 3869 7738 15476 27083 54166 108332