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108483840 = 283354373
BaseRepresentation
bin1100111011101…
…01010100000000
321120010112212000
412131311110000
5210232440330
614433104000
72455045263
oct635652400
9246115760
10108483840
1156266573
12303b8000
131962422a
141059ccda
1597cd560
hex6775500

108483840 has 288 divisors, whose sum is σ = 399315840. Its totient is φ = 27869184.

The previous prime is 108483839. The next prime is 108483841. The reversal of 108483840 is 48384801.

It is an interprime number because it is at equal distance from previous prime (108483839) and next prime (108483841).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1084838402 = 23537487082291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108483795 and 108483804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108483841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486044 + ... + 1486116.

Almost surely, 2108483840 is an apocalyptic number.

108483840 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 108483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199657920).

108483840 is an abundant number, since it is smaller than the sum of its proper divisors (290832000).

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

108483840 is an equidigital number, since it uses as much as digits as its factorization.

108483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 108483840 is about 10415.5575942913. The cubic root of 108483840 is about 476.9304119046.

The spelling of 108483840 in words is "one hundred eight million, four hundred eighty-three thousand, eight hundred forty".