Search a number
-
+
260085593320 = 23573727790631
BaseRepresentation
bin1111001000111001001…
…1110011010011101000
3220212022210221002012121
43302032103303103220
513230123402441240
6315252012521024
724535110031630
oct3621623632350
9825283832177
10260085593320
11a033559a843
12424a6180174
131b6ab7175a7
14c8340956c0
156b7348304a
hex3c8e4f34e8

260085593320 has 128 divisors (see below), whose sum is σ = 689354242560. Its totient is φ = 86447969280.

The previous prime is 260085593291. The next prime is 260085593393. The reversal of 260085593320 is 23395580062.

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, 2824405 + ... + 2915035.

It is an arithmetic number, because the mean of its divisors is an integer number (5385580020).

Almost surely, 2260085593320 is an apocalyptic number.

260085593320 is a gapful number since it is divisible by the number (20) 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 260085593320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344677121280).

260085593320 is an abundant number, since it is smaller than the sum of its proper divisors (429268649240).

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

260085593320 is a wasteful number, since it uses less digits than its factorization.

260085593320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90963 (or 90959 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 260085593320 in words is "two hundred sixty billion, eighty-five million, five hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 277 280 296 370 518 554 740 1036 1108 1295 1385 1480 1939 2072 2216 2590 2770 3878 5180 5540 7756 9695 10249 10360 11080 15512 19390 20498 38780 40996 51245 71743 77560 81992 90631 102490 143486 181262 204980 286972 358715 362524 409960 453155 573944 634417 717430 725048 906310 1268834 1434860 1812620 2537668 2869720 3172085 3353347 3625240 5075336 6344170 6706694 12688340 13413388 16766735 23473429 25104787 25376680 26826776 33533470 46946858 50209574 67066940 93893716 100419148 117367145 125523935 134133880 175733509 187787432 200838296 234734290 251047870 351467018 469468580 502095740 702934036 878667545 928877119 938937160 1004191480 1405868072 1757335090 1857754238 3514670180 3715508476 4644385595 6502139833 7029340360 7431016952 9288771190 13004279666 18577542380 26008559332 32510699165 37155084760 52017118664 65021398330 130042796660 260085593320