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12056064 = 29347167
BaseRepresentation
bin101101111111…
…011000000000
3211200111210220
4231333120000
511041243224
61110223040
7204321606
oct55773000
924614726
1012056064
116894999
124054a80
132661687
14185b876
1510d2279
hexb7f600

12056064 has 80 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 3909632.

The previous prime is 12056059. The next prime is 12056081. The reversal of 12056064 is 46065021.

12056064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72109 + ... + 72275.

Almost surely, 212056064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

12056064 is an abundant number, since it is smaller than the sum of its proper divisors (20941824).

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

12056064 is an equidigital number, since it uses as much as digits as its factorization.

12056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12056064 is about 3472.1843269043. The cubic root of 12056064 is about 229.2988350247.

The spelling of 12056064 in words is "twelve million, fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 167 188 192 256 282 334 376 384 501 512 564 668 752 768 1002 1128 1336 1504 1536 2004 2256 2672 3008 4008 4512 5344 6016 7849 8016 9024 10688 12032 15698 16032 18048 21376 23547 24064 31396 32064 36096 42752 47094 62792 64128 72192 85504 94188 125584 128256 188376 251168 256512 376752 502336 753504 1004672 1507008 2009344 3014016 4018688 6028032 12056064