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12983085 = 34532057
BaseRepresentation
bin110001100001…
…101100101101
3220102121110000
4301201230231
511310424320
61142134513
7215232363
oct61415455
926377400
1012983085
117368425
124421439
1328c75cb
141a1d633
151216c90
hexc61b2d

12983085 has 20 divisors (see below), whose sum is σ = 23274108. Its totient is φ = 6924096.

The previous prime is 12983071. The next prime is 12983093. The reversal of 12983085 is 58038921.

12983085 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10150596 + 2832489 = 3186^2 + 1683^2 .

It is not a de Polignac number, because 12983085 - 29 = 12982573 is a prime.

It is a super-2 number, since 2×129830852 = 337120992234450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15624 + ... + 16433.

Almost surely, 212983085 is an apocalyptic number.

12983085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12983085 is a deficient number, since it is larger than the sum of its proper divisors (10291023).

12983085 is an equidigital number, since it uses as much as digits as its factorization.

12983085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32074 (or 32065 counting only the distinct ones).

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

The square root of 12983085 is about 3603.2048234870. The cubic root of 12983085 is about 235.0314429031.

The spelling of 12983085 in words is "twelve million, nine hundred eighty-three thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 32057 96171 160285 288513 480855 865539 1442565 2596617 4327695 12983085