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31086 = 23211157
BaseRepresentation
bin111100101101110
31120122100
413211232
51443321
6355530
7156426
oct74556
946570
1031086
11213a0
1215ba6
13111c3
14b486
159326
hex796e

31086 has 24 divisors (see below), whose sum is σ = 73944. Its totient is φ = 9360.

The previous prime is 31081. The next prime is 31091. The reversal of 31086 is 68013.

It is an interprime number because it is at equal distance from previous prime (31081) and next prime (31091).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (3081).

231086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36972).

31086 is an abundant number, since it is smaller than the sum of its proper divisors (42858).

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

31086 is a wasteful number, since it uses less digits than its factorization.

31086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31086 is about 176.3122230590. The cubic root of 31086 is about 31.4428290289.

Adding to 31086 its reverse (68013), we get a palindrome (99099).

It can be divided in two parts, 3 and 1086, that added together give a square (1089 = 332).

The spelling of 31086 in words is "thirty-one thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 1413 1727 2826 3454 5181 10362 15543 31086