| Base | Representation |
|---|---|
| bin | 110000010100100… |
| … | …001010000000000 |
| 3 | 2002111110002100200 |
| 4 | 300110201100000 |
| 5 | 3130013413230 |
| 6 | 212235445200 |
| 7 | 26042466255 |
| oct | 6024412000 |
| 9 | 2074402320 |
| 10 | 810685440 |
| 11 | 386679a74 |
| 12 | 1a75b6800 |
| 13 | cbc54736 |
| 14 | 7994b42c |
| 15 | 4b288160 |
| hex | 30521400 |
810685440 has 264 divisors, whose sum is σ = 2859298728. Its totient is φ = 212336640.
The previous prime is 810685427. The next prime is 810685457. The reversal of 810685440 is 44586018.
810685440 is a `hidden beast` number, since 8 + 106 + 8 + 544 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 178062336 + 632623104 = 13344^2 + 25152^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 810685395 and 810685404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3363720 + ... + 3363960.
It is an arithmetic number, because the mean of its divisors is an integer number (10830677).
Almost surely, 2810685440 is an apocalyptic number.
810685440 is a gapful number since it is divisible by the number (80) 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 810685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429649364).
810685440 is an abundant number, since it is smaller than the sum of its proper divisors (2048613288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
810685440 is a wasteful number, since it uses less digits than its factorization.
810685440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 345 (or 324 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The square root of 810685440 is about 28472.5383483805. The cubic root of 810685440 is about 932.4326185718.
The spelling of 810685440 in words is "eight hundred ten million, six hundred eighty-five thousand, four hundred forty".
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