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520969280 = 26513612053
BaseRepresentation
bin11111000011010…
…101110001000000
31100022021222111112
4133003111301000
52031332004110
6123410102452
715624110606
oct3703256100
91308258445
10520969280
11248089a27
1212657aa28
1383c17760
144d293876
1530b0b405
hex1f0d5c40

520969280 has 112 divisors (see below), whose sum is σ = 1358548464. Its totient is φ = 189112320.

The previous prime is 520969279. The next prime is 520969289. The reversal of 520969280 is 82969025.

It can be written as a sum of positive squares in 8 ways, for example, as 147088384 + 373880896 = 12128^2 + 19336^2 .

It is not an unprimeable number, because it can be changed into a prime (520969289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252734 + ... + 254786.

It is an arithmetic number, because the mean of its divisors is an integer number (12129897).

Almost surely, 2520969280 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 520969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679274232).

520969280 is an abundant number, since it is smaller than the sum of its proper divisors (837579184).

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

520969280 is a wasteful number, since it uses less digits than its factorization.

520969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 520969280 is about 22824.7514772889. The cubic root of 520969280 is about 804.6444837821.

The spelling of 520969280 in words is "five hundred twenty million, nine hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 130 160 208 244 260 305 320 416 488 520 610 793 832 976 1040 1220 1586 1952 2053 2080 2440 3172 3904 3965 4106 4160 4880 6344 7930 8212 9760 10265 12688 15860 16424 19520 20530 25376 26689 31720 32848 41060 50752 53378 63440 65696 82120 106756 125233 126880 131392 133445 164240 213512 250466 253760 266890 328480 427024 500932 533780 626165 656960 854048 1001864 1067560 1252330 1628029 1708096 2003728 2135120 2504660 3256058 4007456 4270240 5009320 6512116 8014912 8140145 8540480 10018640 13024232 16280290 20037280 26048464 32560580 40074560 52096928 65121160 104193856 130242320 260484640 520969280