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107124786 = 23217220593
BaseRepresentation
bin1100110001010…
…01100000110010
321110120111120200
412120221200302
5204410443121
614344020030
72440355106
oct630514062
9243514520
10107124786
115551848a
122ba61616
1319269762
1410327906
159610a26
hex6629832

107124786 has 36 divisors (see below), whose sum is σ = 246571962. Its totient is φ = 33606144.

The previous prime is 107124781. The next prime is 107124817. The reversal of 107124786 is 687421701.

It can be written as a sum of positive squares in 3 ways, for example, as 102394161 + 4730625 = 10119^2 + 2175^2 .

It is a super-2 number, since 2×1071247862 = 22951439551091592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107124786.

It is not an unprimeable number, because it can be changed into a prime (107124781) 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 17 ways as a sum of consecutive naturals, for example, 5095 + ... + 15498.

Almost surely, 2107124786 is an apocalyptic number.

107124786 is an abundant number, since it is smaller than the sum of its proper divisors (139447176).

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

107124786 is a wasteful number, since it uses less digits than its factorization.

107124786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20635 (or 20615 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107124786 is about 10350.1104341934. The cubic root of 107124786 is about 474.9304215722.

The spelling of 107124786 in words is "one hundred seven million, one hundred twenty-four thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 20593 41186 61779 123558 185337 350081 370674 700162 1050243 2100486 3150729 5951377 6301458 11902754 17854131 35708262 53562393 107124786