Search a number
-
+
3666981540 = 2235235934481
BaseRepresentation
bin1101101010010001…
…1011001010100100
3100110120001222000010
43122210123022210
530002221402130
61403512050220
7156604554165
oct33244331244
910416058003
103666981540
111611a08562
12864093970
13465932a81
1426b02776c
15166de30b0
hexda91b2a4

3666981540 has 96 divisors (see below), whose sum is σ = 10734425856. Its totient is φ = 933560320.

The previous prime is 3666981523. The next prime is 3666981553. The reversal of 3666981540 is 451896663.

It is a super-2 number, since 2×36669815402 = 26893507229401543200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3666981540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816100 + ... + 820580.

It is an arithmetic number, because the mean of its divisors is an integer number (111816936).

Almost surely, 23666981540 is an apocalyptic number.

3666981540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666981540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367212928).

3666981540 is an abundant number, since it is smaller than the sum of its proper divisors (7067444316).

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

3666981540 is a wasteful number, since it uses less digits than its factorization.

3666981540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3666981540 is about 60555.6070071137. The cubic root of 3666981540 is about 1542.0658086008.

The spelling of 3666981540 in words is "three billion, six hundred sixty-six million, nine hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 593 690 1186 1380 1779 2372 2965 3558 4481 5930 7116 8895 8962 11860 13443 13639 17790 17924 22405 26886 27278 35580 40917 44810 53772 54556 67215 68195 81834 89620 103063 134430 136390 163668 204585 206126 268860 272780 309189 409170 412252 515315 618378 818340 1030630 1236756 1545945 2061260 2657233 3091890 5314466 6183780 7971699 10628932 13286165 15943398 26572330 31886796 39858495 53144660 61116359 79716990 122232718 159433980 183349077 244465436 305581795 366698154 611163590 733396308 916745385 1222327180 1833490770 3666981540