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812600320 = 2105724179
BaseRepresentation
bin110000011011110…
…100110000000000
32002122001101002011
4300123310300000
53131011202240
6212344502304
726064663100
oct6033646000
92078041064
10812600320
11387767714
121a817a994
13cc4751bc
1479cc9200
154b5156ea
hex306f4c00

812600320 has 264 divisors, whose sum is σ = 2352248640. Its totient is φ = 268369920.

The previous prime is 812600291. The next prime is 812600351. The reversal of 812600320 is 23006218.

It is a junction number, because it is equal to n+sod(n) for n = 812600291 and 812600300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10286041 + ... + 10286119.

Almost surely, 2812600320 is an apocalyptic number.

812600320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176124320).

812600320 is an abundant number, since it is smaller than the sum of its proper divisors (1539648320).

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

812600320 is a wasteful number, since it uses less digits than its factorization.

812600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 812600320 is about 28506.1453023730. The cubic root of 812600320 is about 933.1661922924.

Adding to 812600320 its reverse (23006218), we get a palindrome (835606538).

The spelling of 812600320 in words is "eight hundred twelve million, six hundred thousand, three hundred twenty".