Search a number
-
+
6105060100 = 2252678771039
BaseRepresentation
bin1011010111110001…
…11101001100000100
3120202110202012001001
411223320331030010
5100000343410400
62445444343044
7304201104016
oct55370751404
916673665031
106105060100
112653169017
1212246a4a84
13763a917c9
1441cb5a1b6
1525ae8ba6a
hex16be3d304

6105060100 has 72 divisors (see below), whose sum is σ = 13473998720. Its totient is φ = 2400520320.

The previous prime is 6105060097. The next prime is 6105060127. The reversal of 6105060100 is 10605016.

It is a super-2 number, since 2×61050601002 = 74543517649224020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5875381 + ... + 5876419.

Almost surely, 26105060100 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 6105060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736999360).

6105060100 is an abundant number, since it is smaller than the sum of its proper divisors (7368938620).

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

6105060100 is a wasteful number, since it uses less digits than its factorization.

6105060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 6105060100 is about 78134.8840147600. The cubic root of 6105060100 is about 1827.6652219836.

Adding to 6105060100 its reverse (10605016), we get a palindrome (6115665116).

The spelling of 6105060100 in words is "six billion, one hundred five million, sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 877 1039 1340 1675 1754 2078 3350 3508 4156 4385 5195 6700 8770 10390 17540 20780 21925 25975 43850 51950 58759 69613 87700 103900 117518 139226 235036 278452 293795 348065 587590 696130 911203 1175180 1392260 1468975 1740325 1822406 2937950 3480650 3644812 4556015 5875900 6961300 9112030 18224060 22780075 45560150 61050601 91120300 122101202 244202404 305253005 610506010 1221012020 1526265025 3052530050 6105060100