Search a number
-
+
6280820 = 22572131729
BaseRepresentation
bin10111111101011001110100
3102211002122222
4113331121310
53101441240
6342341512
7104246300
oct27753164
912732588
106280820
1135aa967
12212a898
1313bba80
14b96d00
15840eb5
hex5fd674

6280820 has 144 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 1806336.

The previous prime is 6280801. The next prime is 6280843. The reversal of 6280820 is 280826.

It can be written as a sum of positive squares in 8 ways, for example, as 70756 + 6210064 = 266^2 + 2492^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 6280820.

It is a congruent number.

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, 216566 + ... + 216594.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 26280820 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 6280820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

6280820 is an abundant number, since it is smaller than the sum of its proper divisors (11817820).

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

6280820 is a wasteful number, since it uses less digits than its factorization.

6280820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 6280820 is about 2506.1564196993. The cubic root of 6280820 is about 184.5038568730.

The spelling of 6280820 in words is "six million, two hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 29 34 35 49 52 58 65 68 70 85 91 98 116 119 130 140 145 170 182 196 203 221 238 245 260 290 340 364 377 406 442 455 476 490 493 580 595 637 754 812 833 884 910 980 986 1015 1105 1190 1274 1421 1508 1547 1666 1820 1885 1972 2030 2210 2380 2465 2548 2639 2842 3094 3185 3332 3451 3770 4060 4165 4420 4930 5278 5684 6188 6370 6409 6902 7105 7540 7735 8330 9860 10556 10829 12740 12818 13195 13804 14210 15470 16660 17255 18473 21658 24157 25636 26390 28420 30940 32045 34510 36946 43316 44863 48314 52780 54145 64090 69020 73892 89726 92365 96628 108290 120785 128180 179452 184730 216580 224315 241570 314041 369460 448630 483140 628082 897260 1256164 1570205 3140410 6280820