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3960435645 = 325149590669
BaseRepresentation
bin1110110000001111…
…0111001110111101
3101020000020222100200
43230003313032331
531102332420040
61452553514113
7200100101415
oct35403671675
911200228320
103960435645
111752620a11
12926412939
134b167b25a
14297db5645
15182a5c630
hexec0f73bd

3960435645 has 24 divisors (see below), whose sum is σ = 6910839000. Its totient is φ = 2098052736.

The previous prime is 3960435643. The next prime is 3960435649. The reversal of 3960435645 is 5465340693.

3960435645 is a `hidden beast` number, since 3 + 9 + 604 + 35 + 6 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37417689 + 3923017956 = 6117^2 + 62634^2 .

It is not a de Polignac number, because 3960435645 - 21 = 3960435643 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 3960435645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960435641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288630 + ... + 302039.

It is an arithmetic number, because the mean of its divisors is an integer number (287951625).

Almost surely, 23960435645 is an apocalyptic number.

It is an amenable number.

3960435645 is a deficient number, since it is larger than the sum of its proper divisors (2950403355).

3960435645 is a wasteful number, since it uses less digits than its factorization.

3960435645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590829 (or 590826 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The square root of 3960435645 is about 62931.9922217627. The cubic root of 3960435645 is about 1582.1499925977.

The spelling of 3960435645 in words is "three billion, nine hundred sixty million, four hundred thirty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 590669 1772007 2953345 5316021 8860035 26580105 88009681 264029043 440048405 792087129 1320145215 3960435645