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812168320 = 2751269013
BaseRepresentation
bin110000011010001…
…011010010000000
32002121020102111011
4300122023102000
53130403341240
6212331330304
726061213445
oct6032132200
92077212434
10812168320
113874a2097
121a7bb0994
13cc353692
1479c159cc
154b47c6ea
hex3068b480

812168320 has 32 divisors (see below), whose sum is σ = 1941591420. Its totient is φ = 324867072.

The previous prime is 812168311. The next prime is 812168321. The reversal of 812168320 is 23861218.

It can be written as a sum of positive squares in 2 ways, for example, as 811566144 + 602176 = 28488^2 + 776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (812168321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633867 + ... + 635146.

Almost surely, 2812168320 is an apocalyptic number.

812168320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812168320 is an abundant number, since it is smaller than the sum of its proper divisors (1129423100).

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

812168320 is a wasteful number, since it uses less digits than its factorization.

812168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269032 (or 1269020 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 812168320 is about 28498.5669815168. The cubic root of 812168320 is about 933.0007976353. Note that the first 3 decimals are identical.

The spelling of 812168320 in words is "eight hundred twelve million, one hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1269013 2538026 5076052 6345065 10152104 12690130 20304208 25380260 40608416 50760520 81216832 101521040 162433664 203042080 406084160 812168320