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11680326 = 23272171941
BaseRepresentation
bin101100100011…
…101001000110
3210222102101200
4230203221012
510442232301
61054203330
7201165300
oct54435106
923872350
1011680326
116658669
123ab3546
13255c648
1417a0970
15105ac86
hexb23a46

11680326 has 144 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 2903040.

The previous prime is 11680313. The next prime is 11680337. The reversal of 11680326 is 62308611.

It is a self number, because there is not a number n which added to its sum of digits gives 11680326.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 284866 + ... + 284906.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 211680326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11680326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

11680326 is an abundant number, since it is smaller than the sum of its proper divisors (21931434).

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

11680326 is a wasteful number, since it uses less digits than its factorization.

11680326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11680326 is about 3417.6491920617. The cubic root of 11680326 is about 226.8915496886.

Adding to 11680326 its reverse (62308611), we get a palindrome (73988937).

The spelling of 11680326 in words is "eleven million, six hundred eighty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 41 42 49 51 57 63 82 98 102 114 119 123 126 133 147 153 171 238 246 266 287 294 306 323 342 357 369 399 441 574 646 697 714 738 779 798 833 861 882 931 969 1071 1197 1394 1558 1666 1722 1862 1938 2009 2091 2142 2261 2337 2394 2499 2583 2793 2907 4018 4182 4522 4674 4879 4998 5166 5453 5586 5814 6027 6273 6783 7011 7497 8379 9758 10906 12054 12546 13243 13566 14022 14637 14994 15827 16359 16758 18081 20349 26486 29274 31654 32718 34153 36162 38171 39729 40698 43911 47481 49077 68306 76342 79458 87822 92701 94962 98154 102459 114513 119187 142443 185402 204918 229026 238374 278103 284886 307377 343539 556206 614754 648907 687078 834309 1297814 1668618 1946721 3893442 5840163 11680326