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12320256 = 29313617
BaseRepresentation
bin101110111111…
…111000000000
3212011221012210
4232333320000
511123222011
61120022120
7206502054
oct56777000
925157183
1012320256
116a55433
124161940
1327249c0
1418c9c64
1511356a6
hexbbfe00

12320256 has 80 divisors (see below), whose sum is σ = 35403984. Its totient is φ = 3784704.

The previous prime is 12320239. The next prime is 12320267. The reversal of 12320256 is 65202321.

It is a congruent number.

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, 19660 + ... + 20276.

Almost surely, 212320256 is an apocalyptic number.

12320256 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 12320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701992).

12320256 is an abundant number, since it is smaller than the sum of its proper divisors (23083728).

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

12320256 is an equidigital number, since it uses as much as digits as its factorization.

12320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12320256 is about 3510.0222221519. The cubic root of 12320256 is about 230.9616697707.

Adding to 12320256 its reverse (65202321), we get a palindrome (77522577).

The spelling of 12320256 in words is "twelve million, three hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 617 624 768 832 1234 1248 1536 1664 1851 2468 2496 3328 3702 4936 4992 6656 7404 8021 9872 9984 14808 16042 19744 19968 24063 29616 32084 39488 48126 59232 64168 78976 96252 118464 128336 157952 192504 236928 256672 315904 385008 473856 513344 770016 947712 1026688 1540032 2053376 3080064 4106752 6160128 12320256