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108864 = 26357
BaseRepresentation
bin11010100101000000
312112100000
4122211000
511440424
62200000
7632250
oct324500
9175300
10108864
1174878
1253000
133a722
142b960
15223c9
hex1a940

108864 has 84 divisors (see below), whose sum is σ = 369824. Its totient is φ = 31104.

The previous prime is 108863. The next prime is 108869. The reversal of 108864 is 468801.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15549 + ... + 15555.

108864 is a Friedman number, since it can be written as 6048*18, using all its digits and the basic arithmetic operations.

2108864 is an apocalyptic number.

108864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184912).

108864 is an abundant number, since it is smaller than the sum of its proper divisors (260960).

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

108864 is an frugal number, since it uses more digits than its factorization.

108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108864 is about 329.9454500368. The cubic root of 108864 is about 47.7486864948.

The spelling of 108864 in words is "one hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 243 252 288 324 336 378 432 448 486 504 567 576 648 672 756 864 972 1008 1134 1296 1344 1512 1701 1728 1944 2016 2268 2592 3024 3402 3888 4032 4536 5184 6048 6804 7776 9072 12096 13608 15552 18144 27216 36288 54432 108864