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810684540 = 223254503803
BaseRepresentation
bin110000010100100…
…001000001111100
32002111110001010100
4300110201001330
53130013401130
6212235441100
726042463531
oct6024410174
92074401110
10810684540
11386679326
121a75b6190
13cbc541c3
147994ad88
154b287c60
hex3052107c

810684540 has 36 divisors (see below), whose sum is σ = 2459076984. Its totient is φ = 216182496.

The previous prime is 810684527. The next prime is 810684583. The reversal of 810684540 is 45486018.

810684540 is a `hidden beast` number, since 8 + 106 + 8 + 4 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 810684495 and 810684504.

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 11 ways as a sum of consecutive naturals, for example, 2251722 + ... + 2252081.

It is an arithmetic number, because the mean of its divisors is an integer number (68307694).

Almost surely, 2810684540 is an apocalyptic number.

It is an amenable number.

810684540 is an abundant number, since it is smaller than the sum of its proper divisors (1648392444).

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

810684540 is a wasteful number, since it uses less digits than its factorization.

810684540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503818 (or 4503813 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 810684540 is about 28472.5225436736. The cubic root of 810684540 is about 932.4322735183.

The spelling of 810684540 in words is "eight hundred ten million, six hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4503803 9007606 13511409 18015212 22519015 27022818 40534227 45038030 54045636 67557045 81068454 90076060 135114090 162136908 202671135 270228180 405342270 810684540