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107295136 = 2513257921
BaseRepresentation
bin1100110010100…
…11000110100000
321110220011020221
412121103012200
5204431421021
614351412424
72441664544
oct631230640
9243804227
10107295136
1155624473
122bb24114
13192c9160
141036da24
159646241
hex66531a0

107295136 has 24 divisors (see below), whose sum is σ = 227487204. Its totient is φ = 49520640.

The previous prime is 107295127. The next prime is 107295151. The reversal of 107295136 is 631592701.

It can be written as a sum of positive squares in 2 ways, for example, as 107246736 + 48400 = 10356^2 + 220^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 128545 + ... + 129376.

Almost surely, 2107295136 is an apocalyptic number.

107295136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107295136 is an abundant number, since it is smaller than the sum of its proper divisors (120192068).

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

107295136 is a wasteful number, since it uses less digits than its factorization.

107295136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257944 (or 257936 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 107295136 is about 10358.3365459904. The cubic root of 107295136 is about 475.1820332779.

The spelling of 107295136 in words is "one hundred seven million, two hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 257921 515842 1031684 2063368 3352973 4126736 6705946 8253472 13411892 26823784 53647568 107295136