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85681105 = 5171008013
BaseRepresentation
bin1010001101101…
…10001111010001
312222020001101021
411012312033101
5133413243410
612300235441
72060164066
oct506661721
9188201337
1085681105
1144401534
122483bb81
131499c1a3
14b544c6d
1577c6eda
hex51b63d1

85681105 has 8 divisors (see below), whose sum is σ = 108865512. Its totient is φ = 64512768.

The previous prime is 85681093. The next prime is 85681121. The reversal of 85681105 is 50118658.

It can be written as a sum of positive squares in 4 ways, for example, as 30074256 + 55606849 = 5484^2 + 7457^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85681105 - 29 = 85680593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503922 + ... + 504091.

It is an arithmetic number, because the mean of its divisors is an integer number (13608189).

Almost surely, 285681105 is an apocalyptic number.

85681105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85681105 is a deficient number, since it is larger than the sum of its proper divisors (23184407).

85681105 is a wasteful number, since it uses less digits than its factorization.

85681105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008035.

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 85681105 is about 9256.4088608920. The cubic root of 85681105 is about 440.8542375068.

The spelling of 85681105 in words is "eighty-five million, six hundred eighty-one thousand, one hundred five".

Divisors: 1 5 17 85 1008013 5040065 17136221 85681105