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109418868 = 223213172809
BaseRepresentation
bin1101000010110…
…01100101110100
321121220001110200
412201121211310
5211002400433
614505120500
72466021306
oct641314564
9247801420
10109418868
1156845019
1230789130
13198909c0
1410763976
159915613
hex6859974

109418868 has 108 divisors (see below), whose sum is σ = 316805580. Its totient is φ = 31647744.

The previous prime is 109418861. The next prime is 109418893. The reversal of 109418868 is 868814901.

It can be written as a sum of positive squares in 6 ways, for example, as 10575504 + 98843364 = 3252^2 + 9942^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109418861) 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 35 ways as a sum of consecutive naturals, for example, 134848 + ... + 135656.

It is an arithmetic number, because the mean of its divisors is an integer number (2933385).

Almost surely, 2109418868 is an apocalyptic number.

109418868 is a gapful number since it is divisible by the number (18) 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 109418868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158402790).

109418868 is an abundant number, since it is smaller than the sum of its proper divisors (207386712).

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

109418868 is a wasteful number, since it uses less digits than its factorization.

109418868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 109418868 is about 10460.3474129687. The cubic root of 109418868 is about 478.2967235015.

The spelling of 109418868 in words is "one hundred nine million, four hundred eighteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 289 306 442 468 578 612 663 809 867 884 1156 1326 1618 1734 1989 2427 2601 2652 3236 3468 3757 3978 4854 5202 7281 7514 7956 9708 10404 10517 11271 13753 14562 15028 21034 22542 27506 29124 31551 33813 41259 42068 45084 55012 63102 67626 82518 94653 123777 126204 135252 165036 178789 189306 233801 247554 357578 378612 467602 495108 536367 701403 715156 935204 1072734 1402806 1609101 2104209 2145468 2805612 3039413 3218202 4208418 6078826 6436404 8416836 9118239 12157652 18236478 27354717 36472956 54709434 109418868