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8010028260 = 22325138534013
BaseRepresentation
bin1110111010110111…
…10101010011100100
3202200020021121002100
413131123311103210
5112401031401020
63402454412100
7402332055033
oct73533652344
922606247070
108010028260
1134404a7873
121676661030
139a86447c0
1455db5871a
1531d32ba90
hex1dd6f54e4

8010028260 has 144 divisors (see below), whose sum is σ = 26203295664. Its totient is φ = 1968897024.

The previous prime is 8010028253. The next prime is 8010028291. The reversal of 8010028260 is 628200108.

It can be written as a sum of positive squares in 8 ways, for example, as 949995684 + 7060032576 = 30822^2 + 84024^2 .

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, 1994014 + ... + 1998026.

It is an arithmetic number, because the mean of its divisors is an integer number (181967331).

Almost surely, 28010028260 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 8010028260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101647832).

8010028260 is an abundant number, since it is smaller than the sum of its proper divisors (18193267404).

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

8010028260 is a wasteful number, since it uses less digits than its factorization.

8010028260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8010028260 is about 89498.7612204772. The cubic root of 8010028260 is about 2000.8353393888.

Adding to 8010028260 its reverse (628200108), we get a palindrome (8638228368).

The spelling of 8010028260 in words is "eight billion, ten million, twenty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 853 1170 1706 2340 2559 3412 4013 4265 5118 7677 8026 8530 10236 11089 12039 12795 15354 16052 17060 20065 22178 24078 25590 30708 33267 36117 38385 40130 44356 48156 51180 52169 55445 60195 66534 72234 76770 80260 99801 104338 110890 120390 133068 144468 153540 156507 166335 180585 199602 208676 221780 240780 260845 313014 332670 361170 399204 469521 499005 521690 626028 665340 722340 782535 939042 998010 1043380 1565070 1878084 1996020 2347605 3130140 3423089 4695210 6846178 9390420 10269267 13692356 17115445 20538534 30807801 34230890 41077068 44500157 51346335 61615602 68461780 89000314 102692670 123231204 133500471 154039005 178000628 205385340 222500785 267000942 308078010 400501413 445001570 534001884 616156020 667502355 801002826 890003140 1335004710 1602005652 2002507065 2670009420 4005014130 8010028260