Search a number
-
+
6775143540 = 22351194110909
BaseRepresentation
bin1100100111101010…
…00111110001110100
3122111011121221201020
412103311013301310
5102333414043130
63040142501140
7326615525034
oct62365076164
918434557636
106775143540
112967434690
121390b947b0
1383c857b99
14483b478c4
15299beee10
hex193d47c74

6775143540 has 96 divisors (see below), whose sum is σ = 20718875520. Its totient is φ = 1640563200.

The previous prime is 6775143539. The next prime is 6775143563. The reversal of 6775143540 is 453415776.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6775143492 and 6775143501.

It is a congruent number.

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, 615606 + ... + 626514.

It is an arithmetic number, because the mean of its divisors is an integer number (215821620).

Almost surely, 26775143540 is an apocalyptic number.

6775143540 is a gapful number since it is divisible by the number (60) 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 6775143540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359437760).

6775143540 is an abundant number, since it is smaller than the sum of its proper divisors (13943731980).

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

6775143540 is a wasteful number, since it uses less digits than its factorization.

6775143540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873 (or 11871 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 6775143540 is about 82311.2601045568. The cubic root of 6775143540 is about 1892.2252505636.

The spelling of 6775143540 in words is "six billion, seven hundred seventy-five million, one hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 941 1882 2823 3764 4705 5646 9410 10351 10909 11292 14115 18820 20702 21818 28230 31053 32727 41404 43636 51755 54545 56460 62106 65454 103510 109090 119999 124212 130908 155265 163635 207020 218180 239998 310530 327270 359997 479996 599995 621060 654540 719994 1199990 1439988 1799985 2399980 3599970 7199940 10265369 20530738 30796107 41061476 51326845 61592214 102653690 112919059 123184428 153980535 205307380 225838118 307961070 338757177 451676236 564595295 615922140 677514354 1129190590 1355028708 1693785885 2258381180 3387571770 6775143540