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813373260 = 223571092163
BaseRepresentation
bin110000011110110…
…001011101001100
32002200111122100120
4300132301131030
53131210421020
6212413224540
726104362420
oct6036613514
92080448316
10813373260
11388145407
121a8492150
13cc685c6b
147a04ab80
154b619740
hex307b174c

813373260 has 144 divisors (see below), whose sum is σ = 2643008256. Its totient is φ = 183078144.

The previous prime is 813373259. The next prime is 813373271. The reversal of 813373260 is 62373318.

813373260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4989939 + ... + 4990101.

It is an arithmetic number, because the mean of its divisors is an integer number (18354224).

Almost surely, 2813373260 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 813373260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321504128).

813373260 is an abundant number, since it is smaller than the sum of its proper divisors (1829634996).

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

813373260 is a wasteful number, since it uses less digits than its factorization.

813373260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 813373260 is about 28519.6995075334. The cubic root of 813373260 is about 933.4619723486.

The spelling of 813373260 in words is "eight hundred thirteen million, three hundred seventy-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 163 210 218 326 327 420 436 489 545 652 654 763 815 978 1090 1141 1308 1526 1630 1635 1956 2180 2282 2289 2445 3052 3260 3270 3423 3815 4564 4578 4890 5705 6540 6846 7630 9156 9780 11410 11445 11881 13692 15260 17115 17767 22820 22890 23762 34230 35534 35643 45780 47524 53301 59405 68460 71068 71286 83167 88835 106602 118810 124369 142572 166334 177670 178215 213204 237620 248738 249501 266505 332668 355340 356430 373107 415835 497476 499002 533010 621845 712860 746214 831670 998004 1066020 1243690 1247505 1492428 1663340 1865535 1936603 2487380 2495010 3731070 3873206 4990020 5809809 7462140 7746412 9683015 11619618 13556221 19366030 23239236 27112442 29049045 38732060 40668663 54224884 58098090 67781105 81337326 116196180 135562210 162674652 203343315 271124420 406686630 813373260