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12239864 = 23713172343
BaseRepresentation
bin101110101100…
…001111111000
3212000211221022
4232230033320
511113133424
61114202012
7206015510
oct56541770
925024838
1012239864
1169aaa9a
124123308
1326c7230
1418a8840
15111b95e
hexbac3f8

12239864 has 128 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 4257792.

The previous prime is 12239863. The next prime is 12239869. The reversal of 12239864 is 46893221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12239861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284627 + ... + 284669.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 212239864 is an apocalyptic number.

12239864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12239864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

12239864 is an abundant number, since it is smaller than the sum of its proper divisors (19693576).

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

12239864 is a wasteful number, since it uses less digits than its factorization.

12239864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 12239864 is about 3498.5517003469. The cubic root of 12239864 is about 230.4582169469.

The spelling of 12239864 in words is "twelve million, two hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 17 23 26 28 34 43 46 52 56 68 86 91 92 104 119 136 161 172 182 184 221 238 299 301 322 344 364 391 442 476 559 598 602 644 728 731 782 884 952 989 1118 1196 1204 1288 1462 1547 1564 1768 1978 2093 2236 2392 2408 2737 2924 3094 3128 3913 3956 4186 4472 5083 5117 5474 5848 6188 6923 7826 7912 8372 9503 10166 10234 10948 12376 12857 13846 15652 16744 16813 19006 20332 20468 21896 25714 27692 31304 33626 35581 38012 40664 40936 51428 55384 66521 67252 71162 76024 89999 102856 117691 133042 134504 142324 179998 218569 235382 266084 284648 359996 437138 470764 532168 719992 874276 941528 1529983 1748552 3059966 6119932 12239864