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108053838 = 236372003
BaseRepresentation
bin1100111000011…
…00010101001110
321112022201000000
412130030111032
5210130210323
614415545130
72451304524
oct634142516
9245281000
10108053838
1155aa24a2
123022b1a6
13195035a9
14104ca314
159745e43
hex670c54e

108053838 has 56 divisors (see below), whose sum is σ = 249702408. Its totient is φ = 35026992.

The previous prime is 108053831. The next prime is 108053849. The reversal of 108053838 is 838350801.

It is a happy number.

108053838 is a `hidden beast` number, since 10 + 80 + 538 + 38 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108053831) 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 27 ways as a sum of consecutive naturals, for example, 52945 + ... + 54947.

Almost surely, 2108053838 is an apocalyptic number.

108053838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108053838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124851204).

108053838 is an abundant number, since it is smaller than the sum of its proper divisors (141648570).

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

108053838 is an equidigital number, since it uses as much as digits as its factorization.

108053838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2045 counting only the distinct ones).

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

The square root of 108053838 is about 10394.8948046625. The cubic root of 108053838 is about 476.2994343874.

The spelling of 108053838 in words is "one hundred eight million, fifty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1458 1998 2003 2997 4006 5994 6009 8991 12018 17982 18027 26973 36054 53946 54081 74111 108162 148222 162243 222333 324486 444666 486729 666999 973458 1333998 1460187 2000997 2920374 4001994 6002991 12005982 18008973 36017946 54026919 108053838