Search a number
-
+
19268964 = 2232111319197
BaseRepresentation
bin100100110000…
…0010101100100
31100020222001100
41021200111210
514413101324
61525000100
7322532511
oct111402544
940228040
1019268964
11a971070
126553030
133cb8770
1427b8308
151a594c9
hex1260564

19268964 has 144 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 5080320.

The previous prime is 19268957. The next prime is 19268981. The reversal of 19268964 is 46986291.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97714 + ... + 97910.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 219268964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19268964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

19268964 is an abundant number, since it is smaller than the sum of its proper divisors (41271516).

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

19268964 is a wasteful number, since it uses less digits than its factorization.

19268964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 19268964 is about 4389.6428100701. The cubic root of 19268964 is about 268.0933995392.

The spelling of 19268964 in words is "nineteen million, two hundred sixty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 19 22 26 33 36 38 39 44 52 57 66 76 78 99 114 117 132 143 156 171 197 198 209 228 234 247 286 342 394 396 418 429 468 494 572 591 627 684 741 788 836 858 988 1182 1254 1287 1482 1716 1773 1881 2167 2223 2364 2508 2561 2574 2717 2964 3546 3743 3762 4334 4446 5122 5148 5434 6501 7092 7486 7524 7683 8151 8668 8892 10244 10868 11229 13002 14972 15366 16302 19503 22458 23049 24453 26004 28171 30732 32604 33687 39006 41173 44916 46098 48659 48906 56342 67374 78012 82346 84513 92196 97318 97812 112684 123519 134748 145977 164692 169026 194636 247038 253539 291954 338052 370557 437931 494076 507078 535249 583908 741114 875862 1014156 1070498 1482228 1605747 1751724 2140996 3211494 4817241 6422988 9634482 19268964