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108133704 = 2334731769
BaseRepresentation
bin1100111000111…
…11110101001000
321112110202120000
412130133311020
5210140234304
614421403000
72452056420
oct634376510
9245422500
10108133704
11560474a8
1230269460
1319530a53
141050b480
15975e939
hex671fd48

108133704 has 160 divisors (see below), whose sum is σ = 357772800. Its totient is φ = 29859840.

The previous prime is 108133703. The next prime is 108133709. The reversal of 108133704 is 407331801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108133703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140232 + ... + 141000.

It is an arithmetic number, because the mean of its divisors is an integer number (2236080).

Almost surely, 2108133704 is an apocalyptic number.

108133704 is a gapful number since it is divisible by the number (14) 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 108133704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178886400).

108133704 is an abundant number, since it is smaller than the sum of its proper divisors (249639096).

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

108133704 is a wasteful number, since it uses less digits than its factorization.

108133704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 108133704 is about 10398.7356923811. The cubic root of 108133704 is about 476.4167547991.

The spelling of 108133704 in words is "one hundred eight million, one hundred thirty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 769 837 868 1116 1134 1302 1512 1538 1674 1736 1953 2232 2268 2307 2511 2604 3076 3348 3906 4536 4614 5022 5208 5383 5859 6152 6696 6921 7812 9228 10044 10766 11718 13842 15624 16149 17577 18456 20088 20763 21532 23436 23839 27684 32298 35154 41526 43064 46872 47678 48447 55368 62289 64596 70308 71517 83052 95356 96894 124578 129192 140616 143034 145341 166104 166873 190712 193788 214551 249156 286068 290682 333746 387576 429102 436023 498312 500619 572136 581364 643653 667492 858204 872046 1001238 1162728 1287306 1334984 1501857 1716408 1744092 1930959 2002476 2574612 3003714 3488184 3861918 4004952 4505571 5149224 6007428 7723836 9011142 12014856 13516713 15447672 18022284 27033426 36044568 54066852 108133704