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810827105 = 51173919949
BaseRepresentation
bin110000010101000…
…011110101100001
32002111201021200112
4300111003311201
53130032431410
6212242501105
726043626264
oct6025036541
92074637615
10810827105
11386766450
121a7664795
13cbca406a
1479986cdb
154b2b5105
hex30543d61

810827105 has 16 divisors (see below), whose sum is σ = 1062936000. Its totient is φ = 588864960.

The previous prime is 810827081. The next prime is 810827107. The reversal of 810827105 is 501728018.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-810827105 is a prime.

It is not an unprimeable number, because it can be changed into a prime (810827107) 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 15 ways as a sum of consecutive naturals, for example, 30671 + ... + 50619.

It is an arithmetic number, because the mean of its divisors is an integer number (66433500).

Almost surely, 2810827105 is an apocalyptic number.

It is an amenable number.

810827105 is a deficient number, since it is larger than the sum of its proper divisors (252108895).

810827105 is a wasteful number, since it uses less digits than its factorization.

810827105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20704.

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 810827105 is about 28475.0259876967. The cubic root of 810827105 is about 932.4869287341.

The spelling of 810827105 in words is "eight hundred ten million, eight hundred twenty-seven thousand, one hundred five".

Divisors: 1 5 11 55 739 3695 8129 19949 40645 99745 219439 1097195 14742311 73711555 162165421 810827105