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108139920 = 24357591091
BaseRepresentation
bin1100111001000…
…01010110010000
321112111002002020
412130201112100
5210140434140
614421451440
72452113510
oct634412620
9245432066
10108139920
1156051139
1230270b80
1319533825
141050d840
1597616d0
hex6721590

108139920 has 160 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 24276480.

The previous prime is 108139909. The next prime is 108139939. The reversal of 108139920 is 29931801.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98575 + ... + 99665.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2108139920 is an apocalyptic number.

108139920 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 108139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

108139920 is an abundant number, since it is smaller than the sum of its proper divisors (281835120).

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

108139920 is a wasteful number, since it uses less digits than its factorization.

108139920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 108139920 is about 10399.0345705743. The cubic root of 108139920 is about 476.4258834663.

The spelling of 108139920 in words is "one hundred eight million, one hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 59 60 70 80 84 105 112 118 120 140 168 177 210 236 240 280 295 336 354 413 420 472 560 590 708 826 840 885 944 1091 1180 1239 1416 1652 1680 1770 2065 2182 2360 2478 2832 3273 3304 3540 4130 4364 4720 4956 5455 6195 6546 6608 7080 7637 8260 8728 9912 10910 12390 13092 14160 15274 16365 16520 17456 19824 21820 22911 24780 26184 30548 32730 33040 38185 43640 45822 49560 52368 61096 64369 65460 76370 87280 91644 99120 114555 122192 128738 130920 152740 183288 193107 229110 257476 261840 305480 321845 366576 386214 450583 458220 514952 610960 643690 772428 901166 916440 965535 1029904 1287380 1351749 1544856 1802332 1832880 1931070 2252915 2574760 2703498 3089712 3604664 3862140 4505830 5149520 5406996 6758745 7209328 7724280 9011660 10813992 13517490 15448560 18023320 21627984 27034980 36046640 54069960 108139920