Search a number
-
+
85739640 = 23357102071
BaseRepresentation
bin1010001110001…
…00100001111000
312222100000200020
411013010201320
5133422132030
612301410440
72060526540
oct507044170
9188300606
1085739640
1144441508
1224869a20
13149bca1c
14b55c320
1577d9510
hex51c4878

85739640 has 64 divisors (see below), whose sum is σ = 293967360. Its totient is φ = 19597440.

The previous prime is 85739627. The next prime is 85739657. The reversal of 85739640 is 4693758.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 85739592 and 85739601.

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 15 ways as a sum of consecutive naturals, for example, 50196 + ... + 51875.

It is an arithmetic number, because the mean of its divisors is an integer number (4593240).

Almost surely, 285739640 is an apocalyptic number.

It is an amenable number.

85739640 is an abundant number, since it is smaller than the sum of its proper divisors (208227720).

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

85739640 is a wasteful number, since it uses less digits than its factorization.

85739640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102092 (or 102088 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 85739640 is about 9259.5701844092. The cubic root of 85739640 is about 440.9546078608.

The spelling of 85739640 in words is "eighty-five million, seven hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 102071 204142 306213 408284 510355 612426 714497 816568 1020710 1224852 1428994 1531065 2041420 2143491 2449704 2857988 3062130 3572485 4082840 4286982 5715976 6124260 7144970 8573964 10717455 12248520 14289940 17147928 21434910 28579880 42869820 85739640