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810217980 = 22325111331477
BaseRepresentation
bin110000010010101…
…111000111111100
32002110120100010100
4300102233013330
53124403433410
6212221441100
726035511355
oct6022570774
92073510110
10810217980
1138638a840
121a7410190
13cbb1ca30
1479868d2c
154b1e48c0
hex304af1fc

810217980 has 144 divisors (see below), whose sum is σ = 2887413984. Its totient is φ = 181301760.

The previous prime is 810217973. The next prime is 810217999. The reversal of 810217980 is 89712018.

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 47 ways as a sum of consecutive naturals, for example, 10002 + ... + 41478.

It is an arithmetic number, because the mean of its divisors is an integer number (20051486).

Almost surely, 2810217980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810217980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443706992).

810217980 is an abundant number, since it is smaller than the sum of its proper divisors (2077196004).

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

810217980 is a wasteful number, since it uses less digits than its factorization.

810217980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31516 (or 31511 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 810217980 is about 28464.3282021551. The cubic root of 810217980 is about 932.2533633656.

Adding to 810217980 its reverse (89712018), we get a palindrome (899929998).

The spelling of 810217980 in words is "eight hundred ten million, two hundred seventeen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 31477 62954 94431 125908 157385 188862 283293 314770 346247 377724 409201 472155 566586 629540 692494 818402 944310 1038741 1133172 1227603 1384988 1416465 1636804 1731235 1888620 2046005 2077482 2455206 2832930 3116223 3462470 3682809 4092010 4154964 4501211 4910412 5193705 5665860 6138015 6232446 6924940 7365618 8184020 9002422 10387410 12276030 12464892 13503633 14731236 15581115 18004844 18414045 20774820 22506055 24552060 27007266 31162230 36828090 40510899 45012110 54014532 62324460 67518165 73656180 81021798 90024220 135036330 162043596 202554495 270072660 405108990 810217980