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12005056 = 267127211
BaseRepresentation
bin101101110010…
…111011000000
3211120220211201
4231302323000
511033130211
61105150544
7204020110
oct55627300
924526751
1012005056
11685a638
12402b454
1326443ab
141847040
1510c20c1
hexb72ec0

12005056 has 56 divisors (see below), whose sum is σ = 27570176. Its totient is φ = 5080320.

The previous prime is 12005053. The next prime is 12005099. The reversal of 12005056 is 65050021.

It is a happy number.

12005056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (12005051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56791 + ... + 57001.

Almost surely, 212005056 is an apocalyptic number.

12005056 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 12005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13785088).

12005056 is an abundant number, since it is smaller than the sum of its proper divisors (15565120).

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

12005056 is a wasteful number, since it uses less digits than its factorization.

12005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 12005056 is about 3464.8313090250. The cubic root of 12005056 is about 228.9749977471.

Adding to 12005056 its reverse (65050021), we get a palindrome (77055077).

The spelling of 12005056 in words is "twelve million, five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 211 224 254 422 448 508 844 889 1016 1477 1688 1778 2032 2954 3376 3556 4064 5908 6752 7112 8128 11816 13504 14224 23632 26797 28448 47264 53594 56896 94528 107188 187579 214376 375158 428752 750316 857504 1500632 1715008 3001264 6002528 12005056