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85139920 = 2453473067
BaseRepresentation
bin1010001001100…
…10000111010000
312221012120000101
411010302013100
5133243434140
612240502144
72052451225
oct504620720
9187176011
1085139920
1144071978
122461a954
131483ca68
14b44394c
15771b99a
hex51321d0

85139920 has 40 divisors (see below), whose sum is σ = 198585504. Its totient is φ = 33946752.

The previous prime is 85139917. The next prime is 85139939. The reversal of 85139920 is 2993158.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85139920.

It is a congruent 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, 26227 + ... + 29293.

Almost surely, 285139920 is an apocalyptic number.

85139920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85139920 is an abundant number, since it is smaller than the sum of its proper divisors (113445584).

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

85139920 is a wasteful number, since it uses less digits than its factorization.

85139920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 85139920 is about 9227.1295644962. The cubic root of 85139920 is about 439.9240915883.

The spelling of 85139920 in words is "eighty-five million, one hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 347 694 1388 1735 2776 3067 3470 5552 6134 6940 12268 13880 15335 24536 27760 30670 49072 61340 122680 245360 1064249 2128498 4256996 5321245 8513992 10642490 17027984 21284980 42569960 85139920