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82000 = 245341
BaseRepresentation
bin10100000001010000
311011111001
4110001100
510111000
61431344
7461032
oct240120
9134431
1082000
1156676
123b554
132b429
1421c52
151946a
hex14050

• 82000 is the smallest (and maybe the only) n > 1 which is made of 0's and 1's only when represented in base 2, 3, 4 and 5.


82000 has 40 divisors (see below), whose sum is σ = 203112. Its totient is φ = 32000.

The previous prime is 81973. The next prime is 82003. The reversal of 82000 is 28.

It is a happy number.

82000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 63504 = 136^2 + 252^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1980 + ... + 2020.

282000 is an apocalyptic number.

82000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

82000 is an abundant number, since it is smaller than the sum of its proper divisors (121112).

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

82000 is a wasteful number, since it uses less digits than its factorization.

82000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 82000 is about 286.3564212655. The cubic root of 82000 is about 43.4448148577. Note that the first 3 decimals are identical.

Adding to 82000 its reverse (28), we get a palindrome (82028).

The spelling of 82000 in words is "eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000