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108908064 = 253442017
BaseRepresentation
bin1100111110111…
…00111000100000
321120221002210000
412133130320200
5210340024224
614450140000
72461463136
oct637347040
9246832700
10108908064
1156526271
1230581600
1319742355
141066d756
1598640c9
hex67dce20

108908064 has 60 divisors (see below), whose sum is σ = 320303214. Its totient is φ = 36301824.

The previous prime is 108908047. The next prime is 108908081. The reversal of 108908064 is 460809801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108908047) and next prime (108908081).

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 3640464 = 10260^2 + 1908^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18417 + ... + 23600.

Almost surely, 2108908064 is an apocalyptic number.

It is an amenable number.

108908064 is an abundant number, since it is smaller than the sum of its proper divisors (211395150).

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

108908064 is an equidigital number, since it uses as much as digits as its factorization.

108908064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42039 (or 42022 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 108908064 is about 10435.9026442373. The cubic root of 108908064 is about 477.5512790885.

The spelling of 108908064 in words is "one hundred eight million, nine hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 42017 84034 126051 168068 252102 336136 378153 504204 672272 756306 1008408 1134459 1344544 1512612 2016816 2268918 3025224 3403377 4033632 4537836 6050448 6806754 9075672 12100896 13613508 18151344 27227016 36302688 54454032 108908064