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810214368 = 25320634091
BaseRepresentation
bin110000010010101…
…110001111100000
32002110120011011120
4300102232033200
53124403324433
6212221412240
726035465005
oct6022561740
92073504146
10810214368
11386388057
121a740a080
13cbb1b1b2
14798678ac
154b1e37b3
hex304ae3e0

810214368 has 48 divisors (see below), whose sum is σ = 2128363776. Its totient is φ = 269874560.

The previous prime is 810214367. The next prime is 810214403. The reversal of 810214368 is 863412018.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×8102143682 = 1312894644227278848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810214367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 196003 + ... + 200093.

It is an arithmetic number, because the mean of its divisors is an integer number (44340912).

Almost surely, 2810214368 is an apocalyptic number.

It is an amenable number.

810214368 is an abundant number, since it is smaller than the sum of its proper divisors (1318149408).

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

810214368 is a wasteful number, since it uses less digits than its factorization.

810214368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 810214368 is about 28464.2647542493. The cubic root of 810214368 is about 932.2519780165.

The spelling of 810214368 in words is "eight hundred ten million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2063 4091 4126 6189 8182 8252 12273 12378 16364 16504 24546 24756 32728 33008 49092 49512 65456 66016 98184 99024 130912 196368 198048 392736 8439733 16879466 25319199 33758932 50638398 67517864 101276796 135035728 202553592 270071456 405107184 810214368