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107677665 = 32515715241
BaseRepresentation
bin1100110101100…
…00011111100001
321111121120222200
412122300133201
5210031141130
614403523413
72445150024
oct632603741
9244546880
10107677665
1155865907
1230089569
13194012c4
141042d1bb
1596be760
hex66b07e1

107677665 has 24 divisors (see below), whose sum is σ = 187842408. Its totient is φ = 57058560.

The previous prime is 107677657. The next prime is 107677673. The reversal of 107677665 is 566776701.

It is an interprime number because it is at equal distance from previous prime (107677657) and next prime (107677673).

It can be written as a sum of positive squares in 4 ways, for example, as 14130081 + 93547584 = 3759^2 + 9672^2 .

It is not a de Polignac number, because 107677665 - 23 = 107677657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 107677665.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556 + ... + 14685.

It is an arithmetic number, because the mean of its divisors is an integer number (7826767).

Almost surely, 2107677665 is an apocalyptic number.

107677665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107677665 is a deficient number, since it is larger than the sum of its proper divisors (80164743).

107677665 is a wasteful number, since it uses less digits than its factorization.

107677665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15409 (or 15406 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 107677665 is about 10376.7849067040. The cubic root of 107677665 is about 475.7460703967.

The spelling of 107677665 in words is "one hundred seven million, six hundred seventy-seven thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 15241 45723 76205 137169 228615 685845 2392837 7178511 11964185 21535533 35892555 107677665