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108185532 = 223721314153
BaseRepresentation
bin1100111001011…
…00011110111100
321112120101122120
412130230132330
5210143414112
614422442540
72452363500
oct634543674
9245511576
10108185532
1156082434
1230293450
131954b510
1410522300
15976ee8c
hex672c7bc

108185532 has 72 divisors (see below), whose sum is σ = 316256976. Its totient is φ = 28530432.

The previous prime is 108185479. The next prime is 108185533. The reversal of 108185532 is 235581801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 108185493 and 108185502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108185533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568 + ... + 14720.

It is an arithmetic number, because the mean of its divisors is an integer number (4392458).

Almost surely, 2108185532 is an apocalyptic number.

108185532 is a gapful number since it is divisible by the number (12) 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 108185532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158128488).

108185532 is an abundant number, since it is smaller than the sum of its proper divisors (208071444).

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

108185532 is a wasteful number, since it uses less digits than its factorization.

108185532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14187 (or 14178 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 108185532 is about 10401.2274275683. The cubic root of 108185532 is about 476.4928574474.

The spelling of 108185532 in words is "one hundred eight million, one hundred eighty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 14153 28306 42459 56612 84918 99071 169836 183989 198142 297213 367978 396284 551967 594426 693497 735956 1103934 1188852 1287923 1386994 2080491 2207868 2575846 2773988 3863769 4160982 5151692 7727538 8321964 9015461 15455076 18030922 27046383 36061844 54092766 108185532