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82010718 = 2344361193
BaseRepresentation
bin1001110001101…
…10001001011110
312201022120120000
410320312021132
5131443320333
612045435130
72014036206
oct470661136
9181276500
1082010718
1142324959
122356baa6
1313cb566a
14ac6b406
1572ee713
hex4e3625e

82010718 has 80 divisors (see below), whose sum is σ = 192111216. Its totient is φ = 26127360.

The previous prime is 82010681. The next prime is 82010743. The reversal of 82010718 is 81701028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82010691 and 82010700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424830 + ... + 425022.

Almost surely, 282010718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82010718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96055608).

82010718 is an abundant number, since it is smaller than the sum of its proper divisors (110100498).

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

82010718 is a wasteful number, since it uses less digits than its factorization.

82010718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 82010718 is about 9055.9769213487. The cubic root of 82010718 is about 434.4670762695.

It can be divided in two parts, 82010 and 718, that added together give a palindrome (82728).

The spelling of 82010718 in words is "eighty-two million, ten thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 27 43 54 61 81 86 122 129 162 183 193 258 366 386 387 549 579 774 1098 1158 1161 1647 1737 2322 2623 3294 3474 3483 4941 5211 5246 6966 7869 8299 9882 10422 11773 15633 15738 16598 23546 23607 24897 31266 35319 47214 49794 70638 70821 74691 105957 141642 149382 211914 212463 224073 317871 424926 448146 506239 635742 672219 953613 1012478 1344438 1518717 1907226 3037434 4556151 9112302 13668453 27336906 41005359 82010718