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3960705 = 35767563
BaseRepresentation
bin1111000110111110000001
321110020001210
433012332001
52003220310
6220520333
745444150
oct17067601
97406053
103960705
112265811
1213b00a9
13a88a18
14751597
15533820
hex3c6f81

3960705 has 32 divisors (see below), whose sum is σ = 7363584. Its totient is φ = 1780416.

The previous prime is 3960701. The next prime is 3960707. The reversal of 3960705 is 5070693.

3960705 is a nontrivial binomial coefficient, being equal to C(2815, 2).

It is not a de Polignac number, because 3960705 - 22 = 3960701 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3960701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6754 + ... + 7316.

It is an arithmetic number, because the mean of its divisors is an integer number (230112).

Almost surely, 23960705 is an apocalyptic number.

3960705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3960705 is the 2814-th triangular number.

It is an amenable number.

3960705 is a deficient number, since it is larger than the sum of its proper divisors (3402879).

3960705 is a wasteful number, since it uses less digits than its factorization.

3960705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 3960705 is about 1990.1520042449. The cubic root of 3960705 is about 158.2185859893.

The spelling of 3960705 in words is "three million, nine hundred sixty thousand, seven hundred five".

Divisors: 1 3 5 7 15 21 35 67 105 201 335 469 563 1005 1407 1689 2345 2815 3941 7035 8445 11823 19705 37721 59115 113163 188605 264047 565815 792141 1320235 3960705