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12282368 = 29723149
BaseRepresentation
bin101110110110…
…101000000000
3212010000020112
4232312220000
511121013433
61115130452
7206253440
oct56665000
925100215
1012282368
116a29a1a
124143a28
132710697
1418ba120
151129348
hexbb6a00

12282368 has 80 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 5001216.

The previous prime is 12282353. The next prime is 12282371. The reversal of 12282368 is 86328221.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 82358 + ... + 82506.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 212282368 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 12282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

12282368 is an abundant number, since it is smaller than the sum of its proper divisors (17180032).

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

12282368 is an equidigital number, since it uses as much as digits as its factorization.

12282368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 12282368 is about 3504.6209495465. The cubic root of 12282368 is about 230.7246708721.

The spelling of 12282368 in words is "twelve million, two hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 149 161 184 224 256 298 322 368 448 512 596 644 736 896 1043 1192 1288 1472 1792 2086 2384 2576 2944 3427 3584 4172 4768 5152 5888 6854 8344 9536 10304 11776 13708 16688 19072 20608 23989 27416 33376 38144 41216 47978 54832 66752 76288 82432 95956 109664 133504 191912 219328 267008 383824 438656 534016 767648 877312 1535296 1754624 3070592 6141184 12282368