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104117706 = 232711431747
BaseRepresentation
bin1100011010010…
…11010111001010
321020220201122100
412031023113022
5203123231311
614155334230
72402662110
oct615132712
9236821570
10104117706
11538541a0
122aa51376
1318755b14
14db83ab0
159219a56
hex634b5ca

104117706 has 96 divisors (see below), whose sum is σ = 287958528. Its totient is φ = 26399520.

The previous prime is 104117687. The next prime is 104117719. The reversal of 104117706 is 607711401.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 104117706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58725 + ... + 60471.

It is an arithmetic number, because the mean of its divisors is an integer number (2999568).

Almost surely, 2104117706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104117706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143979264).

104117706 is an abundant number, since it is smaller than the sum of its proper divisors (183840822).

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

104117706 is a wasteful number, since it uses less digits than its factorization.

104117706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 104117706 is about 10203.8084066686. The cubic root of 104117706 is about 470.4442848857. Note that the first 3 decimals are identical.

The spelling of 104117706 in words is "one hundred four million, one hundred seventeen thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 63 66 77 86 99 126 129 154 198 231 258 301 387 462 473 602 693 774 903 946 1386 1419 1747 1806 2709 2838 3311 3494 4257 5241 5418 6622 8514 9933 10482 12229 15723 19217 19866 24458 29799 31446 36687 38434 57651 59598 73374 75121 110061 115302 134519 150242 172953 220122 225363 269038 345906 403557 450726 525847 676089 807114 826331 1051694 1210671 1352178 1577541 1652662 2421342 2478993 3155082 4732623 4957986 5784317 7436979 9465246 11568634 14873958 17352951 34705902 52058853 104117706