Search a number
-
+
260140000848 = 243713193134519
BaseRepresentation
bin1111001001000110001…
…1010110011001010000
3220212110121022021022020
43302101203112121100
513230231320011343
6315301235011440
724536340344310
oct3622143263120
9825417267266
10260140000848
11a0363280a42
1242500439b80
131b6b9a86bb0
14c83b3b9440
156b7812db83
hex3c918d6650

260140000848 has 160 divisors (see below), whose sum is σ = 870644275200. Its totient is φ = 64997365248.

The previous prime is 260140000843. The next prime is 260140000889. The reversal of 260140000848 is 848000041062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260140000843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484268 + ... + 1650251.

It is an arithmetic number, because the mean of its divisors is an integer number (5441526720).

Almost surely, 2260140000848 is an apocalyptic number.

260140000848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

260140000848 is an abundant number, since it is smaller than the sum of its proper divisors (610504274352).

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

260140000848 is a wasteful number, since it uses less digits than its factorization.

260140000848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134569 (or 3134563 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 260140000848 in words is "two hundred sixty billion, one hundred forty million, eight hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 20748 27664 41496 82992 3134519 6269038 9403557 12538076 18807114 21941633 25076152 37614228 40748747 43883266 50152304 59555861 65824899 75228456 81497494 87766532 119111722 122246241 131649798 150456912 162994988 175533064 178667583 238223444 244492482 263299596 285241229 325989976 351066128 357335166 416891027 476446888 488984964 526599192 570482458 651979952 714670332 774226193 833782054 855723687 952893776 977969928 1053198384 1140964916 1250673081 1429340664 1548452386 1667564108 1711447374 1955939856 2281929832 2322678579 2501346162 2858681328 3096904772 3335128216 3422894748 4563859664 4645357158 5002692324 5419583351 6193809544 6670256432 6845789496 9290714316 10005384648 10839166702 12387619088 13691578992 16258750053 18581428632 20010769296 21678333404 32517500106 37162857264 43356666808 65035000212 86713333616 130070000424 260140000848