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12803406 = 23721137107
BaseRepresentation
bin110000110101…
…110101001110
3220002110222020
4300311311032
511234202111
61134231010
7213553500
oct60656516
926073866
1012803406
117255430
124355466
1328638a5
1419b3d70
1511cd906
hexc35d4e

12803406 has 96 divisors (see below), whose sum is σ = 33685632. Its totient is φ = 3205440.

The previous prime is 12803393. The next prime is 12803407. The reversal of 12803406 is 60430821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119605 + ... + 119711.

It is an arithmetic number, because the mean of its divisors is an integer number (350892).

Almost surely, 212803406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12803406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842816).

12803406 is an abundant number, since it is smaller than the sum of its proper divisors (20882226).

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

12803406 is a wasteful number, since it uses less digits than its factorization.

12803406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12803406 is about 3578.1847353092. The cubic root of 12803406 is about 233.9421655595.

The spelling of 12803406 in words is "twelve million, eight hundred three thousand, four hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 49 66 74 77 98 107 111 147 154 214 222 231 259 294 321 407 462 518 539 642 749 777 814 1078 1177 1221 1498 1554 1617 1813 2247 2354 2442 2849 3234 3531 3626 3959 4494 5243 5439 5698 7062 7918 8239 8547 10486 10878 11877 15729 16478 17094 19943 23754 24717 27713 31458 39886 43549 49434 55426 57673 59829 83139 87098 115346 119658 130647 166278 173019 193991 261294 304843 346038 387982 581973 609686 914529 1163946 1829058 2133901 4267802 6401703 12803406