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12081056 = 2513113257
BaseRepresentation
bin101110000101…
…011110100000
3211201210002112
4232011132200
511043043211
61110534452
7204454511
oct56053640
924653075
1012081056
116901749
124067428
13266cb70
141866a08
1510d988b
hexb857a0

12081056 has 48 divisors (see below), whose sum is σ = 25941384. Its totient is φ = 5505024.

The previous prime is 12081037. The next prime is 12081061. The reversal of 12081056 is 65018021.

It can be written as a sum of positive squares in 4 ways, for example, as 8410000 + 3671056 = 2900^2 + 1916^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46880 + ... + 47136.

Almost surely, 212081056 is an apocalyptic number.

12081056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12081056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970692).

12081056 is an abundant number, since it is smaller than the sum of its proper divisors (13860328).

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

12081056 is a wasteful number, since it uses less digits than its factorization.

12081056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 12081056 is about 3475.7813510058. The cubic root of 12081056 is about 229.4571697627.

Adding to 12081056 its reverse (65018021), we get a palindrome (77099077).

The spelling of 12081056 in words is "twelve million, eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 257 416 452 514 904 1028 1469 1808 2056 2938 3341 3616 4112 5876 6682 8224 11752 13364 23504 26728 29041 47008 53456 58082 106912 116164 232328 377533 464656 755066 929312 1510132 3020264 6040528 12081056