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108086496 = 2537413923
BaseRepresentation
bin1100111000101…
…00010011100000
321112101100210120
412130110103200
5210132231441
614420400240
72451501660
oct634242340
9245340716
10108086496
1156014a91
1230246080
131951540b
14104d81a0
159750966
hex67144e0

108086496 has 96 divisors (see below), whose sum is σ = 332252928. Its totient is φ = 30120960.

The previous prime is 108086479. The next prime is 108086507. The reversal of 108086496 is 694680801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25591 + ... + 29513.

It is an arithmetic number, because the mean of its divisors is an integer number (3460968).

Almost surely, 2108086496 is an apocalyptic number.

108086496 is a gapful number since it is divisible by the number (16) 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 108086496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166126464).

108086496 is an abundant number, since it is smaller than the sum of its proper divisors (224166432).

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

108086496 is a wasteful number, since it uses less digits than its factorization.

108086496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 108086496 is about 10396.4655532541. The cubic root of 108086496 is about 476.3474148522.

The spelling of 108086496 in words is "one hundred eight million, eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3923 3936 4592 6888 7846 9184 11769 13776 15692 23538 27461 27552 31384 47076 54922 62768 82383 94152 109844 125536 160843 164766 188304 219688 321686 329532 376608 439376 482529 643372 659064 878752 965058 1125901 1286744 1318128 1930116 2251802 2573488 2636256 3377703 3860232 4503604 5146976 6755406 7720464 9007208 13510812 15440928 18014416 27021624 36028832 54043248 108086496