[go: up one dir, main page]

Search a number
-
+
82119060 = 223251014517
BaseRepresentation
bin1001110010100…
…00100110010100
312201112002011200
410321100212110
5132010302220
612052032500
72015000112
oct471204624
9181462150
1082119060
11423992a1
1223602730
1314022a7a
14ac98ab2
157321890
hex4e50994

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".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4517 4545 6060 9034 9090 13551 18068 18180 22585 27102 40653 45170 54204 67755 81306 90340 135510 162612 203265 271020 406530 456217 813060 912434 1368651 1824868 2281085 2737302 4105953 4562170 5474604 6843255 8211906 9124340 13686510 16423812 20529765 27373020 41059530 82119060