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810230364 = 223415116561
BaseRepresentation
bin110000010010110…
…010001001011100
32002110120222010000
4300102302021130
53124404332424
6212222014300
726035562436
oct6022621134
92073528100
10810230364
11386399079
121a7417390
13cbb25568
147986d656
154b1e83c9
hex304b225c

810230364 has 60 divisors (see below), whose sum is σ = 2132258128. Its totient is φ = 268272000.

The previous prime is 810230363. The next prime is 810230401. The reversal of 810230364 is 463032018.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810230363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40644 + ... + 57204.

Almost surely, 2810230364 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 810230364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066129064).

810230364 is an abundant number, since it is smaller than the sum of its proper divisors (1322027764).

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

810230364 is a wasteful number, since it uses less digits than its factorization.

810230364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 810230364 is about 28464.5457367582. The cubic root of 810230364 is about 932.2581131025.

The spelling of 810230364 in words is "eight hundred ten million, two hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 302 324 453 604 906 1359 1812 2718 4077 5436 8154 12231 16308 16561 24462 33122 48924 49683 66244 99366 149049 198732 298098 447147 596196 894294 1341441 1788588 2500711 2682882 5001422 5365764 7502133 10002844 15004266 22506399 30008532 45012798 67519197 90025596 135038394 202557591 270076788 405115182 810230364