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6395985 = 325891597
BaseRepresentation
bin11000011001100001010001
3110000221122100
4120121201101
53114132420
6345031013
7105236121
oct30314121
913027570
106395985
113679442
122185469
13142c30b
14bc6c81
15865190
hex619851

6395985 has 24 divisors (see below), whose sum is σ = 11217960. Its totient is φ = 3370752.

The previous prime is 6395981. The next prime is 6396053. The reversal of 6395985 is 5895936.

6395985 is a `hidden beast` number, since 639 + 5 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 6395841 = 12^2 + 2529^2 .

It is not a de Polignac number, because 6395985 - 22 = 6395981 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 6395985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6395981) 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, 3207 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (467415).

Almost surely, 26395985 is an apocalyptic number.

It is an amenable number.

6395985 is a deficient number, since it is larger than the sum of its proper divisors (4821975).

6395985 is a wasteful number, since it uses less digits than its factorization.

6395985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1694 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 6395985 is about 2529.0284695906. The cubic root of 6395985 is about 185.6247202662.

The spelling of 6395985 in words is "six million, three hundred ninety-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 89 267 445 801 1335 1597 4005 4791 7985 14373 23955 71865 142133 426399 710665 1279197 2131995 6395985