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12805000 = 235413197
BaseRepresentation
bin110000110110…
…001110001000
3220002120011021
4300312032020
511234230000
61134242224
7213561235
oct60661610
926076137
1012805000
11725664a
124356374
132864530
1419b478c
1511ce11a
hexc36388

12805000 has 80 divisors (see below), whose sum is σ = 32473980. Its totient is φ = 4704000.

The previous prime is 12804983. The next prime is 12805007. The reversal of 12805000 is 50821.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 315844 + 12489156 = 562^2 + 3534^2 .

It is not an unprimeable number, because it can be changed into a prime (12805007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64902 + ... + 65098.

Almost surely, 212805000 is an apocalyptic number.

12805000 is a gapful number since it is divisible by the number (10) 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 12805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236990).

12805000 is an abundant number, since it is smaller than the sum of its proper divisors (19668980).

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

12805000 is a wasteful number, since it uses less digits than its factorization.

12805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 12805000 is about 3578.4074670166. The cubic root of 12805000 is about 233.9518736100.

Adding to 12805000 its reverse (50821), we get a palindrome (12855821).

The spelling of 12805000 in words is "twelve million, eight hundred five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 197 200 250 260 325 394 500 520 625 650 788 985 1000 1250 1300 1576 1625 1970 2500 2561 2600 3250 3940 4925 5000 5122 6500 7880 8125 9850 10244 12805 13000 16250 19700 20488 24625 25610 32500 39400 49250 51220 64025 65000 98500 102440 123125 128050 197000 246250 256100 320125 492500 512200 640250 985000 1280500 1600625 2561000 3201250 6402500 12805000