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810933040 = 245101100363
BaseRepresentation
bin110000010101011…
…101101100110000
32002111220200000001
4300111131230300
53130044324130
6212245035344
726044550161
oct6025355460
92074820001
10810933040
11386828aa5
121a76b5b54
13cc010348
14799b3768
154b2d66ca
hex3055db30

810933040 has 40 divisors (see below), whose sum is σ = 1904105808. Its totient is φ = 321158400.

The previous prime is 810933037. The next prime is 810933043. The reversal of 810933040 is 40339018.

It is an interprime number because it is at equal distance from previous prime (810933037) and next prime (810933043).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8109330402 = 1315224790727283200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (810933043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42102 + ... + 58261.

Almost surely, 2810933040 is an apocalyptic number.

810933040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

810933040 is an abundant number, since it is smaller than the sum of its proper divisors (1093172768).

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

810933040 is a wasteful number, since it uses less digits than its factorization.

810933040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100477 (or 100471 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 810933040 is about 28476.8860657200. The cubic root of 810933040 is about 932.5275369396.

The spelling of 810933040 in words is "eight hundred ten million, nine hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 100363 200726 401452 501815 802904 1003630 1605808 2007260 4014520 8029040 10136663 20273326 40546652 50683315 81093304 101366630 162186608 202733260 405466520 810933040