Search a number
-
+
8730384156 = 22321389239877
BaseRepresentation
bin10000010000101111…
…10001011100011100
3211112102202110121100
420020113301130130
5120334434243111
64002150233100
7426230020014
oct101027613434
924472673540
108730384156
11378008a91a
121837955790
13a919602b0
145cb6b0c44
153616c0756
hex2085f171c

8730384156 has 144 divisors (see below), whose sum is σ = 24161155200. Its totient is φ = 2641959936.

The previous prime is 8730384139. The next prime is 8730384191. The reversal of 8730384156 is 6514830378.

It is a super-2 number, since 2×87303841562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 9954390 + ... + 9955266.

It is an arithmetic number, because the mean of its divisors is an integer number (167785800).

Almost surely, 28730384156 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 8730384156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080577600).

8730384156 is an abundant number, since it is smaller than the sum of its proper divisors (15430771044).

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

8730384156 is a wasteful number, since it uses less digits than its factorization.

8730384156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8730384156 is about 93436.5247427364. The cubic root of 8730384156 is about 2059.1016408365.

The spelling of 8730384156 in words is "eight billion, seven hundred thirty million, three hundred eighty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 239 267 356 468 478 534 717 801 877 956 1068 1157 1434 1602 1754 2151 2314 2631 2868 3107 3204 3471 3508 4302 4628 5262 6214 6942 7893 8604 9321 10413 10524 11401 12428 13884 15786 18642 20826 21271 22802 27963 31572 34203 37284 41652 42542 45604 55926 63813 68406 78053 85084 102609 111852 127626 136812 156106 191439 205218 209603 234159 255252 276523 312212 382878 410436 419206 468318 553046 628809 702477 765756 829569 838412 936636 1014689 1106092 1257618 1404954 1659138 1886427 2029378 2488707 2515236 2724839 2809908 3044067 3318276 3772854 4058756 4977414 5449678 6088134 7545708 8174517 9132201 9954828 10899356 12176268 16349034 18264402 18654667 24523551 32698068 36528804 37309334 49047102 55964001 74618668 98094204 111928002 167892003 223856004 242510671 335784006 485021342 671568012 727532013 970042684 1455064026 2182596039 2910128052 4365192078 8730384156