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108305988 = 22372361919
BaseRepresentation
bin1100111010010…
…01111001000100
321112210111212220
412131021321010
5210211242423
614425212340
72453404620
oct635117104
9245714786
10108305988
115615498a
12303310b0
13195912ab
1410554180
1597959e3
hex6749e44

108305988 has 96 divisors (see below), whose sum is σ = 306647040. Its totient is φ = 29082240.

The previous prime is 108305983. The next prime is 108306007. The reversal of 108305988 is 889503801.

It is a super-2 number, since 2×1083059882 = 23460374073312288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (108305983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117393 + ... + 118311.

It is an arithmetic number, because the mean of its divisors is an integer number (3194240).

Almost surely, 2108305988 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 108305988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153323520).

108305988 is an abundant number, since it is smaller than the sum of its proper divisors (198341052).

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

108305988 is a wasteful number, since it uses less digits than its factorization.

108305988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 108305988 is about 10407.0162871017. The cubic root of 108305988 is about 476.6696375079.

The spelling of 108305988 in words is "one hundred eight million, three hundred five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 61 69 84 92 122 138 161 183 244 276 322 366 427 483 644 732 854 919 966 1281 1403 1708 1838 1932 2562 2757 2806 3676 4209 5124 5514 5612 6433 8418 9821 11028 12866 16836 19299 19642 21137 25732 29463 38598 39284 42274 56059 58926 63411 77196 84548 112118 117852 126822 147959 168177 224236 253644 295918 336354 392413 443877 591836 672708 784826 887754 1177239 1289357 1569652 1775508 2354478 2578714 3868071 4708956 5157428 7736142 9025499 15472284 18050998 27076497 36101996 54152994 108305988