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12085853 = 131934817
BaseRepresentation
bin101110000110…
…101001011101
3211202000200012
4232012221131
511043221403
61111013005
7204504503
oct56065135
924660605
1012085853
11690530a
12406a165
1326720c0
141868673
1510daed8
hexb86a5d

12085853 has 8 divisors (see below), whose sum is σ = 13085688. Its totient is φ = 11096064.

The previous prime is 12085849. The next prime is 12085859. The reversal of 12085853 is 35858021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 375769 + 11710084 = 613^2 + 3422^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12085853 - 22 = 12085849 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101 + ... + 4917.

It is an arithmetic number, because the mean of its divisors is an integer number (1635711).

Almost surely, 212085853 is an apocalyptic number.

12085853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12085853 is a deficient number, since it is larger than the sum of its proper divisors (999835).

12085853 is a wasteful number, since it uses less digits than its factorization.

12085853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023.

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 12085853 is about 3476.4713431869. The cubic root of 12085853 is about 229.4875357723.

The spelling of 12085853 in words is "twelve million, eighty-five thousand, eight hundred fifty-three".

Divisors: 1 13 193 2509 4817 62621 929681 12085853