Search a number
-
+
85687713 = 349371129
BaseRepresentation
bin1010001101101…
…11110110100001
312222020101110000
411012313312201
5133414001323
612300330213
72060222256
oct506676641
9188211400
1085687713
11444064a1
1224843969
13149a21b7
14b54742d
1577c8e43
hex51b7da1

85687713 has 20 divisors (see below), whose sum is σ = 128252740. Its totient is φ = 57013632.

The previous prime is 85687703. The next prime is 85687717. The reversal of 85687713 is 31778658.

85687713 is a `hidden beast` number, since 8 + 568 + 77 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 79869969 = 2412^2 + 8937^2 .

It is not a de Polignac number, because 85687713 - 214 = 85671329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85687717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75333 + ... + 76461.

It is an arithmetic number, because the mean of its divisors is an integer number (6412637).

Almost surely, 285687713 is an apocalyptic number.

It is an amenable number.

85687713 is a deficient number, since it is larger than the sum of its proper divisors (42565027).

85687713 is a wasteful number, since it uses less digits than its factorization.

85687713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2069 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 85687713 is about 9256.7657958922. The cubic root of 85687713 is about 440.8655705770.

The spelling of 85687713 in words is "eighty-five million, six hundred eighty-seven thousand, seven hundred thirteen".

Divisors: 1 3 9 27 81 937 1129 2811 3387 8433 10161 25299 30483 75897 91449 1057873 3173619 9520857 28562571 85687713