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108685920 = 2535724621
BaseRepresentation
bin1100111101001…
…10101001100000
321120111211001110
412132212221200
5210310422140
614441303320
72456546400
oct636465140
9246454043
10108685920
1156394382
1230494b40
13196951c5
1410612800
15981d380
hex67a6a60

108685920 has 144 divisors (see below), whose sum is σ = 398342448. Its totient is φ = 24837120.

The previous prime is 108685903. The next prime is 108685931. The reversal of 108685920 is 29586801.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21210 + ... + 25830.

It is an arithmetic number, because the mean of its divisors is an integer number (2766267).

Almost surely, 2108685920 is an apocalyptic number.

108685920 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 108685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199171224).

108685920 is an abundant number, since it is smaller than the sum of its proper divisors (289656528).

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

108685920 is a wasteful number, since it uses less digits than its factorization.

108685920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 108685920 is about 10425.2539537414. The cubic root of 108685920 is about 477.2263647894.

The spelling of 108685920 in words is "one hundred eight million, six hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4621 4704 5880 7840 9242 11760 13863 18484 23105 23520 27726 32347 36968 46210 55452 64694 69315 73936 92420 97041 110904 129388 138630 147872 161735 184840 194082 221808 226429 258776 277260 323470 369680 388164 443616 452858 485205 517552 554520 646940 679287 739360 776328 905716 970410 1035104 1109040 1132145 1293880 1358574 1552656 1811432 1940820 2218080 2264290 2587760 2717148 3105312 3396435 3622864 3881640 4528580 5175520 5434296 6792870 7245728 7763280 9057160 10868592 13585740 15526560 18114320 21737184 27171480 36228640 54342960 108685920