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12086082 = 23217127311
BaseRepresentation
bin101110000110…
…101101000010
3211202000222200
4232012231002
511043223312
61111014030
7204505251
oct56065502
924660880
1012086082
1169054a8
12406a316
132672238
141868798
1510db0dc
hexb86b42

12086082 has 48 divisors (see below), whose sum is σ = 28035072. Its totient is φ = 3749760.

The previous prime is 12086059. The next prime is 12086083. The reversal of 12086082 is 28068021.

It is a super-2 number, since 2×120860822 = 292146756221448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12086083) 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 23 ways as a sum of consecutive naturals, for example, 38707 + ... + 39017.

It is an arithmetic number, because the mean of its divisors is an integer number (584064).

Almost surely, 212086082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12086082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017536).

12086082 is an abundant number, since it is smaller than the sum of its proper divisors (15948990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12086082 is a wasteful number, since it uses less digits than its factorization.

12086082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12086082 is about 3476.5042787260. The cubic root of 12086082 is about 229.4889851891.

The spelling of 12086082 in words is "twelve million, eighty-six thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 127 153 254 306 311 381 622 762 933 1143 1866 2159 2286 2799 4318 5287 5598 6477 10574 12954 15861 19431 31722 38862 39497 47583 78994 95166 118491 236982 355473 671449 710946 1342898 2014347 4028694 6043041 12086082