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108686080 = 2851941109
BaseRepresentation
bin1100111101001…
…10101100000000
321120111211021101
412132212230000
5210310423310
614441304144
72456550016
oct636465400
9246454241
10108686080
1156394508
1230495054
13196952b9
14106128b6
15981d43a
hex67a6b00

108686080 has 144 divisors (see below), whose sum is σ = 283298400. Its totient is φ = 39813120.

The previous prime is 108686077. The next prime is 108686087. The reversal of 108686080 is 80686801.

It is not an unprimeable number, because it can be changed into a prime (108686087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997066 + ... + 997174.

It is an arithmetic number, because the mean of its divisors is an integer number (1967350).

Almost surely, 2108686080 is an apocalyptic number.

108686080 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 108686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141649200).

108686080 is an abundant number, since it is smaller than the sum of its proper divisors (174612320).

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

108686080 is a wasteful number, since it uses less digits than its factorization.

108686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 108686080 is about 10425.2616274125. The cubic root of 108686080 is about 477.2265989693.

The spelling of 108686080 in words is "one hundred eight million, six hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 109 128 152 160 164 190 205 218 256 304 320 328 380 410 436 545 608 640 656 760 779 820 872 1090 1216 1280 1312 1520 1558 1640 1744 2071 2180 2432 2624 3040 3116 3280 3488 3895 4142 4360 4469 4864 5248 6080 6232 6560 6976 7790 8284 8720 8938 10355 10496 12160 12464 13120 13952 15580 16568 17440 17876 20710 22345 24320 24928 26240 27904 31160 33136 34880 35752 41420 44690 49856 52480 62320 66272 69760 71504 82840 84911 89380 99712 124640 132544 139520 143008 165680 169822 178760 199424 249280 265088 286016 331360 339644 357520 424555 498560 530176 572032 662720 679288 715040 849110 997120 1144064 1325440 1358576 1430080 1698220 2650880 2717152 2860160 3396440 5434304 5720320 6792880 10868608 13585760 21737216 27171520 54343040 108686080