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12268386 = 23213237109
BaseRepresentation
bin101110110011…
…001101100010
3212002022001200
4232303031202
511120042021
61114542030
7206164614
oct56631542
925068050
1012268386
116a1a469
124137916
132707200
1418b4db4
151125126
hexbb3362

12268386 has 72 divisors (see below), whose sum is σ = 29832660. Its totient is φ = 3639168.

The previous prime is 12268379. The next prime is 12268411. The reversal of 12268386 is 68386221.

12268386 is a `hidden beast` number, since 12 + 268 + 386 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5377761 + 6890625 = 2319^2 + 2625^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12268386.

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 35 ways as a sum of consecutive naturals, for example, 112500 + ... + 112608.

Almost surely, 212268386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12268386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916330).

12268386 is an abundant number, since it is smaller than the sum of its proper divisors (17564274).

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

12268386 is a wasteful number, since it uses less digits than its factorization.

12268386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12268386 is about 3502.6255866136. The cubic root of 12268386 is about 230.6370868585.

The spelling of 12268386 in words is "twelve million, two hundred sixty-eight thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 109 111 117 169 218 222 234 327 333 338 481 507 654 666 962 981 1014 1417 1443 1521 1962 2834 2886 3042 4033 4251 4329 6253 8066 8502 8658 12099 12506 12753 18421 18759 24198 25506 36297 36842 37518 52429 55263 56277 72594 104858 110526 112554 157287 165789 314574 331578 471861 681577 943722 1363154 2044731 4089462 6134193 12268386