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108836 = 22713223
BaseRepresentation
bin11010100100100100
312112021222
4122210210
511440321
62155512
7632210
oct324444
9175258
10108836
1174852
1252b98
133a700
142b940
15223ab
hex1a924

108836 has 36 divisors (see below), whose sum is σ = 245952. Its totient is φ = 41184.

The previous prime is 108827. The next prime is 108863. The reversal of 108836 is 638801.

108836 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

108836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 4721 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (6832).

2108836 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 108836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976).

108836 is an abundant number, since it is smaller than the sum of its proper divisors (137116).

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

108836 is a wasteful number, since it uses less digits than its factorization.

108836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 108836 is about 329.9030160517. The cubic root of 108836 is about 47.7445924635.

108836 divided by its sum of digits (26) gives a triangular number (4186 = T91).

The spelling of 108836 in words is "one hundred eight thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 169 182 299 322 338 364 598 644 676 1183 1196 2093 2366 3887 4186 4732 7774 8372 15548 27209 54418 108836