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108531360 = 2533573797
BaseRepresentation
bin1100111100000…
…00111010100000
321120012222001000
412132000322200
5210241000420
614434112000
72455333650
oct636007240
9246188030
10108531360
1156299243
123041b600
131963ca52
14105b2360
1597dc690
hex6780ea0

108531360 has 384 divisors, whose sum is σ = 450455040. Its totient is φ = 23887872.

The previous prime is 108531343. The next prime is 108531361. The reversal of 108531360 is 63135801.

It is a super-2 number, since 2×1085313602 = 23558112206899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108531361) 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 63 ways as a sum of consecutive naturals, for example, 1118832 + ... + 1118928.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 2108531360 is an apocalyptic number.

108531360 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 108531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

108531360 is an abundant number, since it is smaller than the sum of its proper divisors (341923680).

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

108531360 is a wasteful number, since it uses less digits than its factorization.

108531360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 108531360 is about 10417.8385474147. The cubic root of 108531360 is about 477.0000395554. Note that the first 4 decimals are identical.

Subtracting from 108531360 its sum of digits (27), we obtain a cube (108531333 = 4773).

The spelling of 108531360 in words is "one hundred eight million, five hundred thirty-one thousand, three hundred sixty".