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12386682 = 235711331
BaseRepresentation
bin101111010000…
…000101111010
3212022022100000
4233100011322
511132333212
61121253430
7210166530
oct57200572
925268300
1012386682
116aa0330
124194276
132748cc9
141906150
15114a1dc
hexbd017a

12386682 has 96 divisors (see below), whose sum is σ = 34804224. Its totient is φ = 3207600.

The previous prime is 12386669. The next prime is 12386687. The reversal of 12386682 is 28668321.

12386682 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12386687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37257 + ... + 37587.

It is an arithmetic number, because the mean of its divisors is an integer number (362544).

Almost surely, 212386682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12386682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402112).

12386682 is an abundant number, since it is smaller than the sum of its proper divisors (22417542).

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

12386682 is a wasteful number, since it uses less digits than its factorization.

12386682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

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

The square root of 12386682 is about 3519.4718353753. The cubic root of 12386682 is about 231.3760109914.

The spelling of 12386682 in words is "twelve million, three hundred eighty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 331 378 462 486 567 594 662 693 891 993 1134 1386 1701 1782 1986 2079 2317 2673 2979 3402 3641 4158 4634 5346 5958 6237 6951 7282 8937 10923 12474 13902 17874 18711 20853 21846 25487 26811 32769 37422 41706 50974 53622 62559 65538 76461 80433 98307 125118 152922 160866 187677 196614 229383 294921 375354 458766 563031 589842 688149 884763 1126062 1376298 1769526 2064447 4128894 6193341 12386682