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12641706 = 23272111303
BaseRepresentation
bin110000001110…
…010110101010
3212210021011100
4300032112222
511214013311
61130542230
7212311200
oct60162652
925707140
1012641706
1171549a0
124297976
1328080cc
141971070
15119aa56
hexc0e5aa

12641706 has 72 divisors (see below), whose sum is σ = 34785504. Its totient is φ = 3281040.

The previous prime is 12641683. The next prime is 12641723. The reversal of 12641706 is 60714621.

12641706 is a `hidden beast` number, since 12 + 641 + 7 + 0 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12641706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9051 + ... + 10353.

It is an arithmetic number, because the mean of its divisors is an integer number (483132).

Almost surely, 212641706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12641706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392752).

12641706 is an abundant number, since it is smaller than the sum of its proper divisors (22143798).

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

12641706 is a wasteful number, since it uses less digits than its factorization.

12641706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12641706 is about 3555.5176838261. The cubic root of 12641706 is about 232.9531363933.

The spelling of 12641706 in words is "twelve million, six hundred forty-one thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1303 1386 1617 2606 3234 3909 4851 7818 9121 9702 11727 14333 18242 23454 27363 28666 42999 54726 63847 82089 85998 100331 127694 128997 164178 191541 200662 257994 300993 383082 574623 601986 702317 902979 1149246 1404634 1805958 2106951 4213902 6320853 12641706