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12805884 = 22337131303
BaseRepresentation
bin110000110110…
…011011111100
3220002121101000
4300312123330
511234242014
61134250300
7213563640
oct60663374
926077330
1012805884
117257283
124356990
132864a60
1419b4c20
1511ce509
hexc366fc

12805884 has 96 divisors (see below), whose sum is σ = 40893440. Its totient is φ = 3374784.

The previous prime is 12805861. The next prime is 12805901. The reversal of 12805884 is 48850821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9177 + ... + 10479.

Almost surely, 212805884 is an apocalyptic number.

12805884 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 12805884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446720).

12805884 is an abundant number, since it is smaller than the sum of its proper divisors (28087556).

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

12805884 is a wasteful number, since it uses less digits than its factorization.

12805884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12805884 is about 3578.5309835182. The cubic root of 12805884 is about 233.9572571503.

It can be divided in two parts, 12805 and 884, that added together give a square (13689 = 1172).

The spelling of 12805884 in words is "twelve million, eight hundred five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1303 1404 1638 2457 2606 3276 3909 4914 5212 7818 9121 9828 11727 15636 16939 18242 23454 27363 33878 35181 36484 46908 50817 54726 67756 70362 82089 101634 109452 118573 140724 152451 164178 203268 237146 246267 304902 328356 355719 457353 474292 492534 609804 711438 914706 985068 1067157 1422876 1829412 2134314 3201471 4268628 6402942 12805884