[go: up one dir, main page]

Search a number
-
+
5104042240 = 285112315761
BaseRepresentation
bin1001100000011100…
…11000000100000000
3111011201011012200111
410300032120010000
540423113322430
62202245201104
7240324433423
oct46016300400
914151135614
105104042240
11218a10a530
12ba5400194
1363458924b
14365c259ba
151ed158c2a
hex130398100

5104042240 has 144 divisors (see below), whose sum is σ = 13917972096. Its totient is φ = 1775206400.

The previous prime is 5104042201. The next prime is 5104042259. The reversal of 5104042240 is 422404015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315960 + ... + 331720.

It is an arithmetic number, because the mean of its divisors is an integer number (96652584).

Almost surely, 25104042240 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 5104042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958986048).

5104042240 is an abundant number, since it is smaller than the sum of its proper divisors (8813929856).

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

5104042240 is a wasteful number, since it uses less digits than its factorization.

5104042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15816 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 5104042240 is about 71442.5800206012. The cubic root of 5104042240 is about 1721.7552660047.

Adding to 5104042240 its reverse (422404015), we get a palindrome (5526446255).

The spelling of 5104042240 in words is "five billion, one hundred four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 256 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1280 1408 1472 1760 1840 2024 2530 2816 2944 3520 3680 4048 5060 5888 7040 7360 8096 10120 14080 14720 15761 16192 20240 29440 31522 32384 40480 63044 64768 78805 80960 126088 157610 161920 173371 252176 315220 323840 346742 362503 504352 630440 693484 725006 866855 1008704 1260880 1386968 1450012 1733710 1812515 2017408 2521760 2773936 2900024 3467420 3625030 3987533 4034816 5043520 5547872 5800048 6934840 7250060 7975066 10087040 11095744 11600096 13869680 14500120 15950132 19937665 20174080 22191488 23200192 27739360 29000240 31900264 39875330 44382976 46400384 55478720 58000480 63800528 79750660 92800768 110957440 116000960 127601056 159501320 221914880 232001920 255202112 319002640 464003840 510404224 638005280 1020808448 1276010560 2552021120 5104042240