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108868480 = 2757191279
BaseRepresentation
bin1100111110100…
…11001110000000
321120212002110221
412133103032000
5210332242410
614445232424
72461236550
oct637231600
9246762427
10108868480
11564a9556
1230562714
131972a326
141065d160
1598574da
hex67d3380

108868480 has 128 divisors (see below), whose sum is σ = 313344000. Its totient is φ = 35334144.

The previous prime is 108868471. The next prime is 108868531. The reversal of 108868480 is 84868801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 84481 + ... + 85759.

It is an arithmetic number, because the mean of its divisors is an integer number (2448000).

Almost surely, 2108868480 is an apocalyptic number.

108868480 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 108868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672000).

108868480 is an abundant number, since it is smaller than the sum of its proper divisors (204475520).

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

108868480 is a wasteful number, since it uses less digits than its factorization.

108868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The square root of 108868480 is about 10434.0059421106. The cubic root of 108868480 is about 477.4934147461.

The spelling of 108868480 in words is "one hundred eight million, eight hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1279 1330 1520 2128 2240 2432 2558 2660 3040 4256 4480 5116 5320 6080 6395 8512 8953 10232 10640 12160 12790 17024 17906 20464 21280 24301 25580 35812 40928 42560 44765 48602 51160 71624 81856 85120 89530 97204 102320 121505 143248 163712 170107 179060 194408 204640 243010 286496 340214 358120 388816 409280 486020 572992 680428 716240 777632 818560 850535 972040 1145984 1360856 1432480 1555264 1701070 1944080 2721712 2864960 3110528 3402140 3888160 5443424 5729920 6804280 7776320 10886848 13608560 15552640 21773696 27217120 54434240 108868480