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109663840 = 25511134793
BaseRepresentation
bin1101000100101…
…01011001100000
321122100111111201
412202111121200
5211033220330
614514250544
72501061436
oct642253140
9248314451
10109663840
11569a2080
1230886a54
1319948360
14107c8d56
159962eca
hex6895660

109663840 has 96 divisors (see below), whose sum is σ = 304438176. Its totient is φ = 36802560.

The previous prime is 109663817. The next prime is 109663843. The reversal of 109663840 is 48366901.

It is a super-3 number, since 3×1096638403 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109663840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109663843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20484 + ... + 25276.

It is an arithmetic number, because the mean of its divisors is an integer number (3171231).

Almost surely, 2109663840 is an apocalyptic number.

109663840 is a gapful number since it is divisible by the number (10) 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 109663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152219088).

109663840 is an abundant number, since it is smaller than the sum of its proper divisors (194774336).

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

109663840 is a wasteful number, since it uses less digits than its factorization.

109663840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 109663840 is about 10472.0504200467. The cubic root of 109663840 is about 478.6534016941.

The spelling of 109663840 in words is "one hundred nine million, six hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 4793 5720 9586 11440 19172 22880 23965 38344 47930 52723 62309 76688 95860 105446 124618 153376 191720 210892 249236 263615 311545 383440 421784 498472 527230 623090 685399 766880 843568 996944 1054460 1246180 1370798 1687136 1993888 2108920 2492360 2741596 3426995 4217840 4984720 5483192 6853990 8435680 9969440 10966384 13707980 21932768 27415960 54831920 109663840