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108123680 = 2557195081
BaseRepresentation
bin1100111000111…
…01011000100000
321112110020210202
412130131120200
5210134424210
614421244332
72452015250
oct634353040
9245406722
10108123680
115603aa15
12302636a8
1319529312
1410507960
15975b9a5
hex671d620

108123680 has 96 divisors (see below), whose sum is σ = 307359360. Its totient is φ = 35112960.

The previous prime is 108123679. The next prime is 108123709. The reversal of 108123680 is 86321801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18740 + ... + 23820.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 2108123680 is an apocalyptic number.

108123680 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 108123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).

108123680 is an abundant number, since it is smaller than the sum of its proper divisors (199235680).

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

108123680 is a wasteful number, since it uses less digits than its factorization.

108123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 108123680 is about 10398.2536995401. The cubic root of 108123680 is about 476.4020330582.

The spelling of 108123680 in words is "one hundred eight million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5081 5320 10162 10640 20324 21280 25405 35567 40648 50810 71134 81296 96539 101620 142268 162592 177835 193078 203240 284536 355670 386156 406480 482695 569072 675773 711340 772312 812960 965390 1138144 1351546 1422680 1544624 1930780 2703092 2845360 3089248 3378865 3861560 5406184 5690720 6757730 7723120 10812368 13515460 15446240 21624736 27030920 54061840 108123680