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12056096 = 251373397
BaseRepresentation
bin101101111111…
…011000100000
3211200111212002
4231333120200
511041243341
61110223132
7204321653
oct55773040
924614762
1012056096
116894a18
124054aa8
1326616b0
14185b89a
1510d229b
hexb7f620

12056096 has 48 divisors (see below), whose sum is σ = 25976664. Its totient is φ = 5474304.

The previous prime is 12056087. The next prime is 12056113. The reversal of 12056096 is 69065021.

It can be written as a sum of positive squares in 4 ways, for example, as 9610000 + 2446096 = 3100^2 + 1564^2 .

It is a super-2 number, since 2×120560962 = 290698901522432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30170 + ... + 30566.

Almost surely, 212056096 is an apocalyptic number.

12056096 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 12056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988332).

12056096 is an abundant number, since it is smaller than the sum of its proper divisors (13920568).

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

12056096 is a wasteful number, since it uses less digits than its factorization.

12056096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 12056096 is about 3472.1889349516. The cubic root of 12056096 is about 229.2990378978.

The spelling of 12056096 in words is "twelve million, fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 397 416 584 794 949 1168 1588 1898 2336 3176 3796 5161 6352 7592 10322 12704 15184 20644 28981 30368 41288 57962 82576 115924 165152 231848 376753 463696 753506 927392 1507012 3014024 6028048 12056096