Search a number
-
+
6014126200 = 2352432632659
BaseRepresentation
bin1011001100111100…
…00100100001111000
3120112010122021011211
411212132010201320
544304104014300
62432435332504
7302015141425
oct54636044170
916463567154
106014126200
1126068aa035
1211ba151134
1374aca3774
14410a48d4c
15252ec84ba
hex166784878

6014126200 has 96 divisors (see below), whose sum is σ = 14367830400. Its totient is φ = 2339890560.

The previous prime is 6014126179. The next prime is 6014126231. The reversal of 6014126200 is 26214106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2260471 + ... + 2263129.

It is an arithmetic number, because the mean of its divisors is an integer number (149664900).

Almost surely, 26014126200 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 6014126200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183915200).

6014126200 is an abundant number, since it is smaller than the sum of its proper divisors (8353704200).

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

6014126200 is a wasteful number, since it uses less digits than its factorization.

6014126200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6014126200 is about 77550.7975458667. The cubic root of 6014126200 is about 1818.5455311918.

The spelling of 6014126200 in words is "six billion, fourteen million, one hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 263 344 430 526 860 1052 1075 1315 1720 2104 2150 2630 2659 4300 5260 5318 6575 8600 10520 10636 11309 13150 13295 21272 22618 26300 26590 45236 52600 53180 56545 66475 90472 106360 113090 114337 132950 226180 228674 265900 282725 452360 457348 531800 565450 571685 699317 914696 1130900 1143370 1398634 2261800 2286740 2797268 2858425 3496585 4573480 5594536 5716850 6993170 11433700 13986340 17482925 22867400 27972680 30070631 34965850 60141262 69931700 120282524 139863400 150353155 240565048 300706310 601412620 751765775 1202825240 1503531550 3007063100 6014126200