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108936 = 23321789
BaseRepresentation
bin11010100110001000
312112102200
4122212020
511441221
62200200
7632412
oct324610
9175380
10108936
1174933
1253060
133a779
142b9b2
1522426
hex1a988

108936 has 48 divisors (see below), whose sum is σ = 315900. Its totient is φ = 33792.

The previous prime is 108929. The next prime is 108943. The reversal of 108936 is 639801.

It can be divided in two parts, 1089 and 36, that multiplied together give a square (39204 = 1982).

108936 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (108929) and next prime (108943).

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 36 = 330^2 + 6^2 .

It is a congruent number.

It is an unprimeable 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, 1180 + ... + 1268.

2108936 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 108936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157950).

108936 is an abundant number, since it is smaller than the sum of its proper divisors (206964).

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

108936 is a wasteful number, since it uses less digits than its factorization.

108936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 108936 is about 330.0545409474. The cubic root of 108936 is about 47.7592107813.

The spelling of 108936 in words is "one hundred eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 89 102 136 153 178 204 267 306 356 408 534 612 712 801 1068 1224 1513 1602 2136 3026 3204 4539 6052 6408 9078 12104 13617 18156 27234 36312 54468 108936