Search a number
-
+
82060 = 22511373
BaseRepresentation
bin10100000010001100
311011120021
4110002030
510111220
61431524
7461146
oct240214
9134507
1082060
1156720
123b5a4
132b474
1421c96
15194aa
hex1408c

82060 has 24 divisors (see below), whose sum is σ = 188496. Its totient is φ = 29760.

The previous prime is 82051. The next prime is 82067. The reversal of 82060 is 6028.

It is not an unprimeable number, because it can be changed into a prime (82067) by changing a digit.

82060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (7854).

282060 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 82060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94248).

82060 is an abundant number, since it is smaller than the sum of its proper divisors (106436).

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

82060 is a wasteful number, since it uses less digits than its factorization.

82060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 82060 is about 286.4611666527. The cubic root of 82060 is about 43.4554085706.

Adding to 82060 its reverse (6028), we get a palindrome (88088).

The spelling of 82060 in words is "eighty-two thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 373 746 1492 1865 3730 4103 7460 8206 16412 20515 41030 82060