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810641940 = 223517312827
BaseRepresentation
bin110000010100010…
…110101000010100
32002111100212200120
4300110112220110
53130011020230
6212234511540
726042225403
oct6024265024
92074325616
10810641940
1138664a319
121a75955b0
13cbc3a9b4
147993963a
154b27a310
hex30516a14

810641940 has 144 divisors (see below), whose sum is σ = 2486344896. Its totient is φ = 196654080.

The previous prime is 810641929. The next prime is 810642073. The reversal of 810641940 is 49146018.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979807 + ... + 980633.

It is an arithmetic number, because the mean of its divisors is an integer number (17266284).

Almost surely, 2810641940 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 810641940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243172448).

810641940 is an abundant number, since it is smaller than the sum of its proper divisors (1675702956).

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

810641940 is a wasteful number, since it uses less digits than its factorization.

810641940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 810641940 is about 28471.7744441754. The cubic root of 810641940 is about 932.4159406914.

Adding to 810641940 its reverse (49146018), we get a palindrome (859787958).

The spelling of 810641940 in words is "eight hundred ten million, six hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 827 930 961 1020 1054 1581 1654 1860 1922 2108 2481 2635 2883 3162 3308 3844 4135 4805 4962 5270 5766 6324 7905 8270 9610 9924 10540 11532 12405 14059 14415 15810 16337 16540 19220 24810 25637 28118 28830 31620 32674 42177 49011 49620 51274 56236 57660 65348 70295 76911 81685 84354 98022 102548 128185 140590 153822 163370 168708 196044 210885 245055 256370 281180 307644 326740 384555 421770 435829 490110 512740 769110 794747 843540 871658 980220 1307487 1538220 1589494 1743316 2179145 2384241 2614974 3178988 3973735 4358290 4768482 5229948 6537435 7947470 8716580 9536964 11921205 13074870 13510699 15894940 23842410 26149740 27021398 40532097 47684820 54042796 67553495 81064194 135106990 162128388 202660485 270213980 405320970 810641940