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12085635 = 351634943
BaseRepresentation
bin101110000110…
…100110000011
3211202000101010
4232012212003
511043220020
61111012003
7204504042
oct56064603
924660333
1012085635
116905131
12406a003
132671c83
141868559
1510dade0
hexb86983

12085635 has 16 divisors (see below), whose sum is σ = 19459584. Its totient is φ = 6404832.

The previous prime is 12085631. The next prime is 12085673. The reversal of 12085635 is 53658021.

It is not a de Polignac number, because 12085635 - 22 = 12085631 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12085631) 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 15 ways as a sum of consecutive naturals, for example, 27 + ... + 4916.

It is an arithmetic number, because the mean of its divisors is an integer number (1216224).

Almost surely, 212085635 is an apocalyptic number.

12085635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12085635 is a deficient number, since it is larger than the sum of its proper divisors (7373949).

12085635 is a wasteful number, since it uses less digits than its factorization.

12085635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 12085635 is about 3476.4399894145. The cubic root of 12085635 is about 229.4861559612.

It can be divided in two parts, 12085 and 635, that added together give a triangular number (12720 = T159).

The spelling of 12085635 in words is "twelve million, eighty-five thousand, six hundred thirty-five".

Divisors: 1 3 5 15 163 489 815 2445 4943 14829 24715 74145 805709 2417127 4028545 12085635