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108538416 = 24327294779
BaseRepresentation
bin1100111100000…
…10101000110000
321120020022201100
412132002220300
5210241212131
614434204400
72455363350
oct636025060
9246208640
10108538416
11562a3578
1230423700
131964301c
14105b4b60
1597de7e6
hex6782a30

108538416 has 240 divisors, whose sum is σ = 371404800. Its totient is φ = 28933632.

The previous prime is 108538411. The next prime is 108538429. The reversal of 108538416 is 614835801.

108538416 is a `hidden beast` number, since 108 + 538 + 4 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (108538411) 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 47 ways as a sum of consecutive naturals, for example, 1373865 + ... + 1373943.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 2108538416 is an apocalyptic number.

108538416 is a gapful number since it is divisible by the number (16) 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 108538416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

108538416 is an abundant number, since it is smaller than the sum of its proper divisors (262866384).

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

108538416 is a wasteful number, since it uses less digits than its factorization.

108538416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 108538416 is about 10418.1771918124. The cubic root of 108538416 is about 477.0103764735.

The spelling of 108538416 in words is "one hundred eight million, five hundred thirty-eight thousand, four hundred sixteen".