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85360743 = 33131571549
BaseRepresentation
bin1010001011010…
…00000001100111
312221121202221000
411011220001213
5133323020433
612245324343
72054361066
oct505500147
9187552830
1085360743
1144202876
12247066b3
13148b9420
14b4a01dd
157762113
hex5168067

85360743 has 32 divisors (see below), whose sum is σ = 137144000. Its totient is φ = 52161408.

The previous prime is 85360741. The next prime is 85360801. The reversal of 85360743 is 34706358.

It is a happy number.

85360743 is a `hidden beast` number, since 8 + 5 + 3 + 607 + 43 = 666.

It is not a de Polignac number, because 85360743 - 21 = 85360741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85360698 and 85360707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85360741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 54333 + ... + 55881.

It is an arithmetic number, because the mean of its divisors is an integer number (4285750).

Almost surely, 285360743 is an apocalyptic number.

85360743 is a deficient number, since it is larger than the sum of its proper divisors (51783257).

85360743 is a wasteful number, since it uses less digits than its factorization.

85360743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 85360743 is about 9239.0877796458. The cubic root of 85360743 is about 440.3040993509.

The spelling of 85360743 in words is "eighty-five million, three hundred sixty thousand, seven hundred forty-three".

Divisors: 1 3 9 13 27 39 117 157 351 471 1413 1549 2041 4239 4647 6123 13941 18369 20137 41823 55107 60411 181233 243193 543699 729579 2188737 3161509 6566211 9484527 28453581 85360743