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108868032 = 26327133167
BaseRepresentation
bin1100111110100…
…11000111000000
321120212001212100
412133103013000
5210332234112
614445230400
72461235340
oct637230700
9246761770
10108868032
11564a9189
1230562400
131972a070
141065cd20
1598572dc
hex67d31c0

108868032 has 336 divisors, whose sum is σ = 402368512. Its totient is φ = 27371520.

The previous prime is 108868031. The next prime is 108868057. The reversal of 108868032 is 230868801.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108868031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624863 + ... + 1624929.

Almost surely, 2108868032 is an apocalyptic number.

108868032 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 108868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201184256).

108868032 is an abundant number, since it is smaller than the sum of its proper divisors (293500480).

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

108868032 is a wasteful number, since it uses less digits than its factorization.

108868032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 108868032 is about 10433.9844738240. The cubic root of 108868032 is about 477.4927597744.

The spelling of 108868032 in words is "one hundred eight million, eight hundred sixty-eight thousand, thirty-two".