Base | Representation |
---|---|
bin | 1001110010100… |
… | …00100110010100 |
3 | 12201112002011200 |
4 | 10321100212110 |
5 | 132010302220 |
6 | 12052032500 |
7 | 2015000112 |
oct | 471204624 |
9 | 181462150 |
10 | 82119060 |
11 | 423992a1 |
12 | 23602730 |
13 | 14022a7a |
14 | ac98ab2 |
15 | 7321890 |
hex | 4e50994 |
82119060 has 72 divisors (see below), whose sum is σ = 251616456. Its totient is φ = 21676800.
The previous prime is 82119049. The next prime is 82119071. The reversal of 82119060 is 6091128.
It is an interprime number because it is at equal distance from previous prime (82119049) and next prime (82119071).
It can be written as a sum of positive squares in 4 ways, for example, as 5171076 + 76947984 = 2274^2 + 8772^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15922 + ... + 20438.
It is an arithmetic number, because the mean of its divisors is an integer number (3494673).
Almost surely, 282119060 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 82119060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125808228).
82119060 is an abundant number, since it is smaller than the sum of its proper divisors (169497396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82119060 is a wasteful number, since it uses less digits than its factorization.
82119060 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4633 (or 4628 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 27.
The square root of 82119060 is about 9061.9567423377. The cubic root of 82119060 is about 434.6583127333.
It can be divided in two parts, 8211 and 9060, that added together give a palindrome (17271).
The spelling of 82119060 in words is "eighty-two million, one hundred nineteen thousand, sixty".
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