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108496960 = 26511132371
BaseRepresentation
bin1100111011110…
…00100001000000
321120011012211221
412131320201000
5210233400320
614433244424
72455131445
oct635704100
9246135757
10108496960
1156275410
1230403714
131962a1b0
14105a39cc
1597d23aa
hex6778840

108496960 has 112 divisors (see below), whose sum is σ = 303653952. Its totient is φ = 36403200.

The previous prime is 108496939. The next prime is 108496961. The reversal of 108496960 is 69694801.

It is not an unprimeable number, because it can be changed into a prime (108496961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44575 + ... + 46945.

It is an arithmetic number, because the mean of its divisors is an integer number (2711196).

Almost surely, 2108496960 is an apocalyptic number.

108496960 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 108496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151826976).

108496960 is an abundant number, since it is smaller than the sum of its proper divisors (195156992).

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

108496960 is a wasteful number, since it uses less digits than its factorization.

108496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 108496960 is about 10416.1874023080. The cubic root of 108496960 is about 476.9496377320.

The spelling of 108496960 in words is "one hundred eight million, four hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2371 2860 3520 4160 4576 4742 5720 9152 9484 11440 11855 18968 22880 23710 26081 30823 37936 45760 47420 52162 61646 75872 94840 104324 123292 130405 151744 154115 189680 208648 246584 260810 308230 339053 379360 417296 493168 521620 616460 678106 758720 834592 986336 1043240 1232920 1356212 1669184 1695265 1972672 2086480 2465840 2712424 3390530 4172960 4931680 5424848 6781060 8345920 9863360 10849696 13562120 21699392 27124240 54248480 108496960