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12266320 = 2451153263
BaseRepresentation
bin101110110010…
…101101010000
3212002012020011
4232302231100
511120010240
61114524304
7206155603
oct56625520
925065204
1012266320
116a18960
124136694
1327062a1
1418b433a
1511246ea
hexbb2b50

12266320 has 80 divisors (see below), whose sum is σ = 31819392. Its totient is φ = 4359680.

The previous prime is 12266311. The next prime is 12266327. The reversal of 12266320 is 2366221.

It is a happy number.

12266320 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12266291 and 12266300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12266327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46509 + ... + 46771.

Almost surely, 212266320 is an apocalyptic number.

12266320 is a gapful number since it is divisible by the number (10) 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 12266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696).

12266320 is an abundant number, since it is smaller than the sum of its proper divisors (19553072).

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

12266320 is a wasteful number, since it uses less digits than its factorization.

12266320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 12266320 is about 3502.3306525798. The cubic root of 12266320 is about 230.6241396795.

Subtracting from 12266320 its reverse (2366221), we obtain a palindrome (9900099).

The spelling of 12266320 in words is "twelve million, two hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 263 265 424 440 526 530 583 848 880 1052 1060 1166 1315 2104 2120 2332 2630 2893 2915 4208 4240 4664 5260 5786 5830 9328 10520 11572 11660 13939 14465 21040 23144 23320 27878 28930 46288 46640 55756 57860 69695 111512 115720 139390 153329 223024 231440 278780 306658 557560 613316 766645 1115120 1226632 1533290 2453264 3066580 6133160 12266320