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811331040 = 253513130021
BaseRepresentation
bin110000010110111…
…110110111100000
32002112122212221210
4300112332313200
53130200043130
6212301350120
726051125422
oct6026766740
92075585853
10811331040
11386a80023
121a7868340
13cc11c550
1479a78812
154b3645b0
hex305bede0

811331040 has 96 divisors (see below), whose sum is σ = 2752305696. Its totient is φ = 199710720.

The previous prime is 811331029. The next prime is 811331041. The reversal of 811331040 is 40133118.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 811330998 and 811331016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811331041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58771 + ... + 71250.

It is an arithmetic number, because the mean of its divisors is an integer number (28669851).

Almost surely, 2811331040 is an apocalyptic number.

811331040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

811331040 is an abundant number, since it is smaller than the sum of its proper divisors (1940974656).

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

811331040 is a wasteful number, since it uses less digits than its factorization.

811331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130052 (or 130044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 811331040 is about 28483.8733321155. The cubic root of 811331040 is about 932.6800712177.

Adding to 811331040 its reverse (40133118), we get a palindrome (851464158).

The spelling of 811331040 in words is "eight hundred eleven million, three hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 130021 260042 390063 520084 650105 780126 1040168 1300210 1560252 1690273 1950315 2080336 2600420 3120504 3380546 3900630 4160672 5070819 5200840 6241008 6761092 7801260 8451365 10141638 10401680 12482016 13522184 15602520 16902730 20283276 20803360 25354095 27044368 31205040 33805460 40566552 50708190 54088736 62410080 67610920 81133104 101416380 135221840 162266208 202832760 270443680 405665520 811331040