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108008880 = 24357239269
BaseRepresentation
bin1100111000000…
…01010110110000
321112020102022220
412130001112300
5210122241010
614415001040
72451026460
oct634012660
9245212286
10108008880
1155a71741
1230209180
13194b8ca5
14104b7ba0
159737970
hex67015b0

108008880 has 160 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 24493056.

The previous prime is 108008861. The next prime is 108008911. The reversal of 108008880 is 88800801.

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, 401386 + ... + 401654.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2108008880 is an apocalyptic number.

108008880 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 108008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

108008880 is an abundant number, since it is smaller than the sum of its proper divisors (277680720).

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

108008880 is a wasteful number, since it uses less digits than its factorization.

108008880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 108008880 is about 10392.7320758307. The cubic root of 108008880 is about 476.2333671970.

The spelling of 108008880 in words is "one hundred eight million, eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 239 240 269 280 336 420 478 538 560 717 807 840 956 1076 1195 1345 1434 1614 1673 1680 1883 1912 2152 2390 2690 2868 3228 3346 3585 3766 3824 4035 4304 4780 5019 5380 5649 5736 6456 6692 7170 7532 8070 8365 9415 9560 10038 10760 11298 11472 12912 13384 14340 15064 16140 16730 18830 19120 20076 21520 22596 25095 26768 28245 28680 30128 32280 33460 37660 40152 45192 50190 56490 57360 64291 64560 66920 75320 80304 90384 100380 112980 128582 133840 150640 192873 200760 225960 257164 321455 385746 401520 450037 451920 514328 642910 771492 900074 964365 1028656 1285820 1350111 1542984 1800148 1928730 2250185 2571640 2700222 3085968 3600296 3857460 4500370 5143280 5400444 6750555 7200592 7714920 9000740 10800888 13501110 15429840 18001480 21601776 27002220 36002960 54004440 108008880