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106765713 = 3211862857
BaseRepresentation
bin1100101110100…
…01110110010001
321102220021000200
412113101312101
5204313000323
614332205413
72434331205
oct627216621
9242807020
10106765713
11552a272a
122b909869
13191721a2
1410272b05
15958e443
hex65d1d91

106765713 has 6 divisors (see below), whose sum is σ = 154217154. Its totient is φ = 71177136.

The previous prime is 106765679. The next prime is 106765723. The reversal of 106765713 is 317567601.

106765713 is a `hidden beast` number, since 10 + 6 + 76 + 571 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57653649 + 49112064 = 7593^2 + 7008^2 .

It is a de Polignac number, because none of the positive numbers 2k-106765713 is a prime.

It is a super-2 number, since 2×1067657132 = 22797834944796738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106765723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5931420 + ... + 5931437.

It is an arithmetic number, because the mean of its divisors is an integer number (25702859).

Almost surely, 2106765713 is an apocalyptic number.

It is an amenable number.

106765713 is a deficient number, since it is larger than the sum of its proper divisors (47451441).

106765713 is a wasteful number, since it uses less digits than its factorization.

106765713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11862863 (or 11862860 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 106765713 is about 10332.7495372723. The cubic root of 106765713 is about 474.3991857041.

The spelling of 106765713 in words is "one hundred six million, seven hundred sixty-five thousand, seven hundred thirteen".

Divisors: 1 3 9 11862857 35588571 106765713