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810019140 = 223575336389
BaseRepresentation
bin110000010001111…
…110100101000100
32002110012020100220
4300101332211010
53124331103030
6212213304340
726034022560
oct6021764504
92073166326
10810019140
11386264407
121a73350b0
13cba80388
14798166a0
154b1a5a10
hex3047e944

810019140 has 96 divisors (see below), whose sum is σ = 2641040640. Its totient is φ = 181648896.

The previous prime is 810019139. The next prime is 810019163. The reversal of 810019140 is 41910018.

It is a super-2 number, since 2×8100191402 = 1312262014332679200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 810019140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4066 + ... + 40454.

It is an arithmetic number, because the mean of its divisors is an integer number (27510840).

Almost surely, 2810019140 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 810019140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320520320).

810019140 is an abundant number, since it is smaller than the sum of its proper divisors (1831021500).

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

810019140 is a wasteful number, since it uses less digits than its factorization.

810019140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36461 (or 36459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 810019140 is about 28460.8351950536. The cubic root of 810019140 is about 932.1770940037.

Adding to 810019140 its reverse (41910018), we get a palindrome (851929158).

The spelling of 810019140 in words is "eight hundred ten million, nineteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260 36389 72778 109167 145556 181945 218334 254723 363890 436668 509446 545835 727780 764169 1018892 1091670 1273615 1528338 1928617 2183340 2547230 3056676 3820845 3857234 5094460 5785851 7641690 7714468 9643085 11571702 13500319 15283380 19286170 23143404 27000638 28929255 38572340 40500957 54001276 57858510 67501595 81001914 115717020 135003190 162003828 202504785 270006380 405009570 810019140