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9968585 = 511216477
BaseRepresentation
bin100110000001…
…101111001001
3200202110022212
4212001233021
510022443320
6553354505
7150505634
oct46015711
920673285
109968585
115699600
123408a35
1320b0493
141476c1b
15d1d9c5
hex981bc9

9968585 has 12 divisors (see below), whose sum is σ = 13149444. Its totient is φ = 7249440.

The previous prime is 9968573. The next prime is 9968587. The reversal of 9968585 is 5858699.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3455881 + 6512704 = 1859^2 + 2552^2 .

It is not a de Polignac number, because 9968585 - 212 = 9964489 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968587) 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 11 ways as a sum of consecutive naturals, for example, 7634 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (1095787).

Almost surely, 29968585 is an apocalyptic number.

It is an amenable number.

9968585 is a deficient number, since it is larger than the sum of its proper divisors (3180859).

9968585 is a wasteful number, since it uses less digits than its factorization.

9968585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16504 (or 16493 counting only the distinct ones).

The product of its digits is 777600, while the sum is 50.

The square root of 9968585 is about 3157.3066053204. The cubic root of 9968585 is about 215.2176271245.

The spelling of 9968585 in words is "nine million, nine hundred sixty-eight thousand, five hundred eighty-five".

Divisors: 1 5 11 55 121 605 16477 82385 181247 906235 1993717 9968585