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20761686 = 23211234797
BaseRepresentation
bin100111100110…
…0110001010110
31110001210200100
41033030301112
520303333221
62020554530
7341320461
oct117146126
943053610
1020761686
11107a0620
126b52a46
1343bc02a
142a862d8
151c51926
hex13ccc56

20761686 has 96 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 5829120.

The previous prime is 20761669. The next prime is 20761693. The reversal of 20761686 is 68616702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20761686.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 213990 + ... + 214086.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 220761686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20761686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

20761686 is an abundant number, since it is smaller than the sum of its proper divisors (32073642).

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

20761686 is a wasteful number, since it uses less digits than its factorization.

20761686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20761686 is about 4556.4993141665. The cubic root of 20761686 is about 274.8448094076.

It can be divided in two parts, 207616 and 86, that added together give a palindrome (207702).

The spelling of 20761686 in words is "twenty million, seven hundred sixty-one thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 47 66 69 94 97 99 138 141 194 198 207 253 282 291 414 423 506 517 582 759 846 873 1034 1067 1081 1518 1551 1746 2134 2162 2231 2277 3102 3201 3243 4462 4554 4559 4653 6402 6486 6693 9118 9306 9603 9729 11891 13386 13677 19206 19458 20079 23782 24541 27354 35673 40158 41031 49082 50149 71346 73623 82062 100298 104857 107019 147246 150447 209714 214038 220869 300894 314571 441738 451341 629142 902682 943713 1153427 1887426 2306854 3460281 6920562 10380843 20761686