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12810040 = 2354173107
BaseRepresentation
bin110000110111…
…011100111000
3220002211001221
4300313130320
511234410130
61134321424
7213612025
oct60673470
926084057
1012810040
11725a411
124359274
132866909
1419b654c
1511d087a
hexc37738

12810040 has 64 divisors (see below), whose sum is σ = 30209760. Its totient is φ = 4884480.

The previous prime is 12810023. The next prime is 12810041. The reversal of 12810040 is 4001821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12809996 and 12810023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12810041) 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 15 ways as a sum of consecutive naturals, for example, 119667 + ... + 119773.

Almost surely, 212810040 is an apocalyptic number.

12810040 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 12810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104880).

12810040 is an abundant number, since it is smaller than the sum of its proper divisors (17399720).

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

12810040 is a wasteful number, since it uses less digits than its factorization.

12810040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 12810040 is about 3579.1116216179. Note that the first 3 decimals coincide. The cubic root of 12810040 is about 233.9825637774.

Adding to 12810040 its reverse (4001821), we get a palindrome (16811861).

The spelling of 12810040 in words is "twelve million, eight hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 73 82 107 146 164 205 214 292 328 365 410 428 535 584 730 820 856 1070 1460 1640 2140 2920 2993 4280 4387 5986 7811 8774 11972 14965 15622 17548 21935 23944 29930 31244 35096 39055 43870 59860 62488 78110 87740 119720 156220 175480 312440 320251 640502 1281004 1601255 2562008 3202510 6405020 12810040