Search a number
-
+
12884004 = 22327294143
BaseRepresentation
bin110001001001…
…100000100100
3220020120112100
4301021200210
511244242004
61140052100
7214340460
oct61114044
926216470
1012884004
1172aaa41
124394030
132891493
1419d54a0
1511e7739
hexc49824

12884004 has 144 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3386880.

The previous prime is 12883951. The next prime is 12884017. The reversal of 12884004 is 40048821.

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, 299607 + ... + 299649.

It is an arithmetic number, because the mean of its divisors is an integer number (280280).

Almost surely, 212884004 is an apocalyptic number.

12884004 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 12884004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

12884004 is an abundant number, since it is smaller than the sum of its proper divisors (27476316).

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

12884004 is a wasteful number, since it uses less digits than its factorization.

12884004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12884004 is about 3589.4294811293. The cubic root of 12884004 is about 234.4320311347.

The spelling of 12884004 in words is "twelve million, eight hundred eighty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 41 42 43 58 63 82 84 86 87 116 123 126 129 164 172 174 203 246 252 258 261 287 301 348 369 387 406 492 516 522 574 602 609 738 774 812 861 903 1044 1148 1189 1204 1218 1247 1476 1548 1722 1763 1806 1827 2378 2436 2494 2583 2709 3444 3526 3567 3612 3654 3741 4756 4988 5166 5289 5418 7052 7134 7308 7482 8323 8729 10332 10578 10701 10836 11223 12341 14268 14964 15867 16646 17458 21156 21402 22446 24682 24969 26187 31734 33292 34916 37023 42804 44892 49364 49938 51127 52374 63468 74046 74907 78561 99876 102254 104748 111069 148092 149814 153381 157122 204508 222138 299628 306762 314244 357889 444276 460143 613524 715778 920286 1073667 1431556 1840572 2147334 3221001 4294668 6442002 12884004