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682360641 = 32685711057
BaseRepresentation
bin101000101010111…
…111111101000001
31202112222111211100
4220222333331001
52344141020031
6151413205013
722623653424
oct5052777501
91675874740
10682360641
113201a1716
12170630769
13ab4a45c1
14668a59bb
153ed8ade6
hex28abff41

682360641 has 12 divisors (see below), whose sum is σ = 985864932. Its totient is φ = 454799616.

The previous prime is 682360631. The next prime is 682360643. The reversal of 682360641 is 146063286.

682360641 is a `hidden beast` number, since 6 + 8 + 2 + 3 + 6 + 0 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47320641 + 635040000 = 6879^2 + 25200^2 .

It is not a de Polignac number, because 682360641 - 26 = 682360577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 682360596 and 682360605.

It is not an unprimeable number, because it can be changed into a prime (682360643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56185 + ... + 67241.

It is an arithmetic number, because the mean of its divisors is an integer number (82155411).

Almost surely, 2682360641 is an apocalyptic number.

It is an amenable number.

682360641 is a deficient number, since it is larger than the sum of its proper divisors (303504291).

682360641 is a wasteful number, since it uses less digits than its factorization.

682360641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17920 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 682360641 is about 26122.0336306345. The cubic root of 682360641 is about 880.3823411744.

The spelling of 682360641 in words is "six hundred eighty-two million, three hundred sixty thousand, six hundred forty-one".

Divisors: 1 3 9 6857 11057 20571 33171 61713 99513 75817849 227453547 682360641