Search a number
-
+
810975396 = 2237112731093
BaseRepresentation
bin110000010101101…
…000000010100100
32002111222211002210
4300111220002210
53130102203041
6212250003420
726045114520
oct6025500244
92074884083
10810975396
11386857900
121a7716570
13cc0266ca
14799c4d80
154b2e4016
hex305680a4

810975396 has 144 divisors (see below), whose sum is σ = 2411841152. Its totient is φ = 207567360.

The previous prime is 810975379. The next prime is 810975397. The reversal of 810975396 is 693579018.

It is not an unprimeable number, because it can be changed into a prime (810975397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741426 + ... + 742518.

Almost surely, 2810975396 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 810975396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205920576).

810975396 is an abundant number, since it is smaller than the sum of its proper divisors (1600865756).

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

810975396 is a wasteful number, since it uses less digits than its factorization.

810975396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 810975396 is about 28477.6297468732. The cubic root of 810975396 is about 932.5437723321.

The spelling of 810975396 in words is "eight hundred ten million, nine hundred seventy-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 73 77 84 121 132 146 154 219 231 242 292 308 363 438 462 484 511 726 803 847 876 924 1022 1093 1452 1533 1606 1694 2044 2186 2409 2541 3066 3212 3279 3388 4372 4818 5082 5621 6132 6558 7651 8833 9636 10164 11242 12023 13116 15302 16863 17666 22484 22953 24046 26499 30604 33726 35332 36069 45906 48092 52998 61831 67452 72138 79789 84161 91812 105996 123662 132253 144276 159578 168322 185493 239367 247324 252483 264506 319156 336644 370986 396759 478734 504966 529012 558523 741972 793518 877679 925771 957468 1009932 1117046 1587036 1675569 1755358 1851542 2234092 2633037 2777313 3351138 3510716 3703084 5266074 5554626 6143753 6702276 9654469 10532148 11109252 12287506 18431259 19308938 24575012 28963407 36862518 38617876 57926814 67581283 73725036 115853628 135162566 202743849 270325132 405487698 810975396