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2856041240 = 2351319467619
BaseRepresentation
bin1010101000111011…
…1011101100011000
321101001010221001012
42222032323230120
521322121304430
61151222513052
7130526643563
oct25216735430
97331127035
102856041240
111236185068
12678595788
1336691c340
141d14514da
1511ab09695
hexaa3bbb18

2856041240 has 128 divisors (see below), whose sum is σ = 7312032000. Its totient is φ = 995286528.

The previous prime is 2856041219. The next prime is 2856041267. The reversal of 2856041240 is 421406582.

It is a junction number, because it is equal to n+sod(n) for n = 2856041197 and 2856041206.

It is a congruent number.

It is an unprimeable number.

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, 4613651 + ... + 4614269.

It is an arithmetic number, because the mean of its divisors is an integer number (57125250).

Almost surely, 22856041240 is an apocalyptic number.

2856041240 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 2856041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016000).

2856041240 is an abundant number, since it is smaller than the sum of its proper divisors (4455990760).

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

2856041240 is a wasteful number, since it uses less digits than its factorization.

2856041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2856041240 is about 53441.9427042094. The cubic root of 2856041240 is about 1418.8010179407.

The spelling of 2856041240 in words is "two billion, eight hundred fifty-six million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 467 494 520 619 760 934 988 1235 1238 1868 1976 2335 2470 2476 3095 3736 4670 4940 4952 6071 6190 8047 8873 9340 9880 11761 12142 12380 16094 17746 18680 23522 24284 24760 30355 32188 35492 40235 44365 47044 48568 58805 60710 64376 70984 80470 88730 94088 115349 117610 121420 152893 160940 177460 230698 235220 242840 289073 305786 321880 354920 461396 470440 576745 578146 611572 764465 922792 1153490 1156292 1223144 1445365 1528930 2306980 2312584 2890730 3057860 3757949 4613960 5492387 5781460 6115720 7515898 10984774 11562920 15031796 18789745 21969548 27461935 30063592 37579490 43939096 54923870 71401031 75158980 109847740 142802062 150317960 219695480 285604124 357005155 571208248 714010310 1428020620 2856041240