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82134 = 235132
BaseRepresentation
bin10100000011010110
311011200000
4110003112
510112014
61432130
7461313
oct240326
9134600
1082134
1156788
123b646
132b500
1421d0a
1519509
hex140d6

82134 has 36 divisors (see below), whose sum is σ = 199836. Its totient is φ = 25272.

The previous prime is 82129. The next prime is 82139. The reversal of 82134 is 43128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82129) and next prime (82139).

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

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6312 + ... + 6324.

It is an arithmetic number, because the mean of its divisors is an integer number (5551).

282134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99918).

82134 is an abundant number, since it is smaller than the sum of its proper divisors (117702).

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

82134 is a wasteful number, since it uses less digits than its factorization.

82134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 18 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 82134 is about 286.5902999056. The cubic root of 82134 is about 43.4684670404.

It can be divided in two parts, 82 and 134, that added together give a cube (216 = 63).

The spelling of 82134 in words is "eighty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 1014 1053 1521 2106 3042 3159 4563 6318 9126 13689 27378 41067 82134