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968085 = 33571101
BaseRepresentation
bin11101100010110010101
31211011222000
43230112111
5221434320
632425513
711141256
oct3542625
91734860
10968085
11601378
123a8299
1327b841
141b2b2d
15141c90
hexec595

968085 has 32 divisors (see below), whose sum is σ = 1762560. Its totient is φ = 504000.

The previous prime is 968063. The next prime is 968089. The reversal of 968085 is 580869.

It is not a de Polignac number, because 968085 - 26 = 968021 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968085.

It is not an unprimeable number, because it can be changed into a prime (968089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9535 + ... + 9635.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

2968085 is an apocalyptic number.

It is an amenable number.

968085 is a deficient number, since it is larger than the sum of its proper divisors (794475).

968085 is a wasteful number, since it uses less digits than its factorization.

968085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 968085 is about 983.9131059194. The cubic root of 968085 is about 98.9246442171.

The spelling of 968085 in words is "nine hundred sixty-eight thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 71 101 135 213 303 355 505 639 909 1065 1515 1917 2727 3195 4545 7171 9585 13635 21513 35855 64539 107565 193617 322695 968085