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107395965 = 3252386577
BaseRepresentation
bin1100110011010…
…11101101111101
321111002021120100
412121223231331
5204443132330
614353511313
72442564525
oct631535575
9244067510
10107395965
11556931a6
122bb72539
1319333011
1410398685
159666060
hex666bb7d

107395965 has 12 divisors (see below), whose sum is σ = 186153084. Its totient is φ = 57277824.

The previous prime is 107395963. The next prime is 107396011. The reversal of 107395965 is 569593701.

It can be written as a sum of positive squares in 2 ways, for example, as 45522009 + 61873956 = 6747^2 + 7866^2 .

It is not a de Polignac number, because 107395965 - 21 = 107395963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2386577 = 107395965 / (1 + 0 + 7 + 3 + 9 + 5 + 9 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 107395965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107395963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1193244 + ... + 1193333.

It is an arithmetic number, because the mean of its divisors is an integer number (15512757).

Almost surely, 2107395965 is an apocalyptic number.

107395965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107395965 is a deficient number, since it is larger than the sum of its proper divisors (78757119).

107395965 is a wasteful number, since it uses less digits than its factorization.

107395965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386588 (or 2386585 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 107395965 is about 10363.2024490502. The cubic root of 107395965 is about 475.3308350802.

The spelling of 107395965 in words is "one hundred seven million, three hundred ninety-five thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 2386577 7159731 11932885 21479193 35798655 107395965