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82060105 = 5172109521
BaseRepresentation
bin1001110010000…
…10001101001001
312201102002022011
410321002031021
5132001410410
612050455521
72014333201
oct471021511
9181362264
1082060105
1142358a76
12235945a1
1314001c9a
14ac81401
15730e18a
hex4e42349

82060105 has 24 divisors (see below), whose sum is σ = 105767640. Its totient is φ = 61102080.

The previous prime is 82060093. The next prime is 82060109. The reversal of 82060105 is 50106028.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2547216 + 79512889 = 1596^2 + 8917^2 .

It is not a de Polignac number, because 82060105 - 27 = 82059977 is a prime.

It is a super-2 number, since 2×820601052 = 13467721665222050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82060109) by changing a digit.

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, 157245 + ... + 157765.

It is an arithmetic number, because the mean of its divisors is an integer number (4406985).

Almost surely, 282060105 is an apocalyptic number.

82060105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82060105 is a deficient number, since it is larger than the sum of its proper divisors (23707535).

82060105 is a wasteful number, since it uses less digits than its factorization.

82060105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 82060105 is about 9058.7032736479. The cubic root of 82060105 is about 434.5542710505.

The spelling of 82060105 in words is "eighty-two million, sixty thousand, one hundred five".

Divisors: 1 5 17 85 109 289 521 545 1445 1853 2605 8857 9265 31501 44285 56789 150569 157505 283945 752845 965413 4827065 16412021 82060105