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108083472 = 24372711187
BaseRepresentation
bin1100111000100…
…11100100010000
321112101012122120
412130103210100
5210132132342
614420334240
72451460110
oct634234420
9245335576
10108083472
1156012792
1230244380
1319513c23
14104d7040
15974eaec
hex6713910

108083472 has 80 divisors (see below), whose sum is σ = 320550912. Its totient is φ = 30741120.

The previous prime is 108083431. The next prime is 108083473. The reversal of 108083472 is 274380801.

It is not an unprimeable number, because it can be changed into a prime (108083473) 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, 90463 + ... + 91649.

Almost surely, 2108083472 is an apocalyptic number.

108083472 is a gapful number since it is divisible by the number (12) 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 108083472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275456).

108083472 is an abundant number, since it is smaller than the sum of its proper divisors (212467440).

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

108083472 is a wasteful number, since it uses less digits than its factorization.

108083472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 108083472 is about 10396.3201181957. The cubic root of 108083472 is about 476.3429724594.

The spelling of 108083472 in words is "one hundred eight million, eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 542 813 1084 1187 1626 1897 2168 2374 3252 3561 3794 4336 4748 5691 6504 7122 7588 8309 9496 11382 13008 14244 15176 16618 18992 22764 24927 28488 30352 33236 45528 49854 56976 66472 91056 99708 132944 199416 321677 398832 643354 965031 1286708 1930062 2251739 2573416 3860124 4503478 5146832 6755217 7720248 9006956 13510434 15440496 18013912 27020868 36027824 54041736 108083472