Search a number
-
+
260216688420 = 2232513195852827
BaseRepresentation
bin1111001001011000011…
…1111000111100100100
3220212122221121101212200
43302112013320330210
513230410433012140
6315313014414500
724541261233243
oct3622607707444
9825587541780
10260216688420
11a03a259a4a7
1242522061430
131b6cc927660
14c84765c95a
156b7ec2b030
hex3c961f8f24

260216688420 has 144 divisors (see below), whose sum is σ = 894780344640. Its totient is φ = 60682099968.

The previous prime is 260216688419. The next prime is 260216688469. The reversal of 260216688420 is 24886612062.

260216688420 is a `hidden beast` number, since 2 + 6 + 0 + 216 + 6 + 8 + 8 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2881954 + ... + 2970873.

Almost surely, 2260216688420 is an apocalyptic number.

260216688420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260216688420 is an abundant number, since it is smaller than the sum of its proper divisors (634563656220).

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

260216688420 is a wasteful number, since it uses less digits than its factorization.

260216688420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852874 (or 5852869 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 260216688420 in words is "two hundred sixty billion, two hundred sixteen million, six hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 5852827 11705654 17558481 23411308 29264135 35116962 52675443 58528270 70233924 76086751 87792405 105350886 111203713 117056540 152173502 175584810 210701772 222407426 228260253 263377215 304347004 333611139 351169620 380433755 444814852 456520506 526754430 556018565 667222278 684780759 760867510 913041012 1000833417 1053508860 1112037130 1141301265 1334444556 1369561518 1445648269 1521735020 1668055695 2001666834 2224074260 2282602530 2739123036 2891296538 3336111390 3423903795 4003333668 4336944807 4565205060 5004167085 5782593076 6672222780 6847807590 7228241345 8673889614 10008334170 13010834421 13695615180 14456482690 17347779228 20016668340 21684724035 26021668842 28912965380 43369448070 52043337684 65054172105 86738896140 130108344210 260216688420