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13930686 = 23271119232
BaseRepresentation
bin110101001001…
…000010111110
3222012202022100
4311021002332
512031240221
61214325530
7226260150
oct65110276
928182270
1013930686
117955370
1247b98a6
132b69a13
141bc8ad0
151352926
hexd490be

13930686 has 144 divisors (see below), whose sum is σ = 41408640. Its totient is φ = 3278880.

The previous prime is 13930681. The next prime is 13930699. The reversal of 13930686 is 68603931.

It is a happy number.

13930686 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 a self number, because there is not a number n which added to its sum of digits gives 13930686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13930681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 605671 + ... + 605693.

It is an arithmetic number, because the mean of its divisors is an integer number (287560).

Almost surely, 213930686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13930686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704320).

13930686 is an abundant number, since it is smaller than the sum of its proper divisors (27477954).

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

13930686 is a wasteful number, since it uses less digits than its factorization.

13930686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13930686 is about 3732.3834208184. The cubic root of 13930686 is about 240.6158143680.

The spelling of 13930686 in words is "thirteen million, nine hundred thirty thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 23 33 38 42 46 57 63 66 69 77 99 114 126 133 138 154 161 171 198 207 209 231 253 266 322 342 399 414 418 437 462 483 506 529 627 693 759 798 874 966 1058 1197 1254 1311 1386 1449 1463 1518 1587 1771 1881 2277 2394 2622 2898 2926 3059 3174 3542 3703 3762 3933 4389 4554 4761 4807 5313 5819 6118 7406 7866 8778 9177 9522 9614 10051 10626 11109 11638 13167 14421 15939 17457 18354 20102 22218 26334 27531 28842 30153 31878 33327 33649 34914 40733 43263 52371 55062 60306 66654 67298 70357 81466 86526 90459 100947 104742 110561 122199 140714 180918 201894 211071 221122 244398 302841 331683 366597 422142 605682 633213 663366 733194 773927 995049 1266426 1547854 1990098 2321781 4643562 6965343 13930686