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107186096 = 243126971
BaseRepresentation
bin1100110001110…
…00011110110000
321110200121200102
412120320132300
5204414423341
614345211532
72441031623
oct630703660
9243617612
10107186096
115555a556
122ba90ba8
131928b634
1410341dba
159623c9b
hex66387b0

107186096 has 30 divisors (see below), whose sum is σ = 214619076. Its totient is φ = 51856800.

The previous prime is 107186081. The next prime is 107186099. The reversal of 107186096 is 690681701.

It is a super-2 number, since 2×1071860962 = 22977718351442432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107186099) 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 5 ways as a sum of consecutive naturals, for example, 11891 + ... + 18861.

Almost surely, 2107186096 is an apocalyptic number.

107186096 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 107186096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107309538).

107186096 is an abundant number, since it is smaller than the sum of its proper divisors (107432980).

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

107186096 is an equidigital number, since it uses as much as digits as its factorization.

107186096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 107186096 is about 10353.0718146838. The cubic root of 107186096 is about 475.0210088584.

The spelling of 107186096 in words is "one hundred seven million, one hundred eighty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 6971 7688 13942 15376 27884 55768 111536 216101 432202 864404 1728808 3457616 6699131 13398262 26796524 53593048 107186096