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806868990 = 232537337719
BaseRepresentation
bin110000000101111…
…101011111111110
32002020021012011200
4300011331133332
53123024301430
6212022000330
725665162504
oct6005753776
92066235150
10806868990
11384502684
121a62760a6
13cb219595
1479236674
154ac82460
hex3017d7fe

806868990 has 96 divisors (see below), whose sum is σ = 2163957120. Its totient is φ = 208438272.

The previous prime is 806868893. The next prime is 806869013. The reversal of 806868990 is 99868608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121851 + ... + 1122569.

It is an arithmetic number, because the mean of its divisors is an integer number (22541220).

Almost surely, 2806868990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806868990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081978560).

806868990 is an abundant number, since it is smaller than the sum of its proper divisors (1357088130).

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

806868990 is a wasteful number, since it uses less digits than its factorization.

806868990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 806868990 is about 28405.4394438812. The cubic root of 806868990 is about 930.9671174176.

It can be divided in two parts, 80686 and 8990, that added together give a triangular number (89676 = T423).

The spelling of 806868990 in words is "eight hundred six million, eight hundred sixty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 337 370 555 666 674 719 1011 1110 1438 1665 1685 2022 2157 3033 3330 3370 3595 4314 5055 6066 6471 7190 10110 10785 12469 12942 15165 21570 24938 26603 30330 32355 37407 53206 62345 64710 74814 79809 112221 124690 133015 159618 187035 224442 239427 242303 266030 374070 399045 478854 484606 561105 726909 798090 1122210 1197135 1211515 1453818 2180727 2394270 2423030 3634545 4361454 7269090 8965211 10903635 17930422 21807270 26895633 44826055 53791266 80686899 89652110 134478165 161373798 268956330 403434495 806868990