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85689340 = 22511537349
BaseRepresentation
bin1010001101110…
…00001111111100
312222020110200021
411012320033330
5133414024330
612300341524
72060230102
oct506701774
9188213607
1085689340
1144407740
12248448a4
13149a2b69
14b547c72
1577c967a
hex51b83fc

85689340 has 48 divisors (see below), whose sum is σ = 200037600. Its totient is φ = 30567680.

The previous prime is 85689293. The next prime is 85689341. The reversal of 85689340 is 4398658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85689341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7986 + ... + 15334.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 285689340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85689340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100018800).

85689340 is an abundant number, since it is smaller than the sum of its proper divisors (114348260).

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

85689340 is a wasteful number, since it uses less digits than its factorization.

85689340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 85689340 is about 9256.8536771411. The cubic root of 85689340 is about 440.8683608788.

The spelling of 85689340 in words is "eighty-five million, six hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 7349 11660 14698 29396 36745 73490 80839 146980 161678 323356 389497 404195 778994 808390 1557988 1616780 1947485 3894970 4284467 7789940 8568934 17137868 21422335 42844670 85689340