Search a number
-
+
16295084260 = 22572135324133
BaseRepresentation
bin11110010110100001…
…10100000011100100
31120001122002001022021
433023100310003210
5231333020144020
611252540112524
71114543634200
oct171320640344
946048061267
1016295084260
116a02171a94
1231a9235744
1316c8c526c0
14b08225b00
156558831aa
hex3cb4340e4

16295084260 has 144 divisors (see below), whose sum is σ = 43679257776. Its totient is φ = 5059611648.

The previous prime is 16295084251. The next prime is 16295084261. The reversal of 16295084260 is 6248059261.

It can be written as a sum of positive squares in 8 ways, for example, as 503643364 + 15791440896 = 22442^2 + 125664^2 .

It is not an unprimeable number, because it can be changed into a prime (16295084261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663154 + ... + 687286.

It is an arithmetic number, because the mean of its divisors is an integer number (303328179).

Almost surely, 216295084260 is an apocalyptic number.

16295084260 is a gapful number since it is divisible by the number (10) 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 16295084260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839628888).

16295084260 is an abundant number, since it is smaller than the sum of its proper divisors (27384173516).

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

16295084260 is a wasteful number, since it uses less digits than its factorization.

16295084260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24222 (or 24213 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 16295084260 in words is "sixteen billion, two hundred ninety-five million, eighty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 53 65 70 91 98 106 130 140 182 196 212 245 260 265 364 371 455 490 530 637 689 742 910 980 1060 1274 1378 1484 1820 1855 2548 2597 2756 3185 3445 3710 4823 5194 6370 6890 7420 9646 10388 12740 12985 13780 19292 24115 24133 25970 33761 48230 48266 51940 67522 96460 96532 120665 135044 168805 168931 241330 313729 337610 337862 482660 627458 675220 675724 844655 1182517 1254916 1279049 1568645 1689310 2196103 2365034 2558098 3137290 3378620 4392206 4730068 5116196 5912585 6274580 6395245 8784412 8953343 10980515 11825170 12790490 15372721 16627637 17906686 21961030 23650340 25580980 30745442 33255274 35813372 43922060 44766715 61490884 62673401 66510548 76863605 83138185 89533430 116393459 125346802 153727210 166276370 179066860 232786918 250693604 307454420 313367005 332552740 465573836 581967295 626734010 814754213 1163934590 1253468020 1629508426 2327869180 3259016852 4073771065 8147542130 16295084260