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809999960 = 235711409643
BaseRepresentation
bin110000010001111…
…001111001011000
32002110011021001112
4300101321321120
53124324444320
6212213035452
726033612630
oct6021717130
92073137045
10809999960
11386250a60
121a7325b88
13cba74723
147980d6c0
154b19eec5
hex30479e58

809999960 has 128 divisors (see below), whose sum is σ = 2281305600. Its totient is φ = 251458560.

The previous prime is 809999959. The next prime is 809999989. The reversal of 809999960 is 69999908.

It is a self number, because there is not a number n which added to its sum of digits gives 809999960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259399 + ... + 1260041.

It is an arithmetic number, because the mean of its divisors is an integer number (17822700).

Almost surely, 2809999960 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 809999960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140652800).

809999960 is an abundant number, since it is smaller than the sum of its proper divisors (1471305640).

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

809999960 is a wasteful number, since it uses less digits than its factorization.

809999960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 59.

The square root of 809999960 is about 28460.4982387870. The cubic root of 809999960 is about 932.1697364418.

The spelling of 809999960 in words is "eight hundred nine million, nine hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 409 440 616 643 770 818 1286 1540 1636 2045 2572 2863 3080 3215 3272 4090 4499 4501 5144 5726 6430 7073 8180 8998 9002 11452 12860 14146 14315 16360 17996 18004 22495 22505 22904 25720 28292 28630 31493 35365 35992 36008 44990 45010 49511 56584 57260 62986 70730 89980 90020 99022 114520 125972 141460 157465 179960 180040 198044 247555 251944 262987 282920 314930 396088 495110 525974 629860 990220 1051948 1259720 1314935 1840909 1980440 2103896 2629870 2892857 3681818 5259740 5785714 7363636 9204545 10519480 11571428 14464285 14727272 18409090 20249999 23142856 28928570 36818180 40499998 57857140 73636360 80999996 101249995 115714280 161999992 202499990 404999980 809999960