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520580840 = 235132531453
BaseRepresentation
bin11111000001110…
…110111011101000
31100021120020122212
4133001312323220
52031232041330
6123353504252
715620602253
oct3701667350
91307506585
10520580840
112479440aa
12126412088
1383b0ca00
144d1d209a
1530a81295
hex1f076ee8

520580840 has 96 divisors (see below), whose sum is σ = 1293158520. Its totient is φ = 188457984.

The previous prime is 520580779. The next prime is 520580869. The reversal of 520580840 is 48085025.

It can be written as a sum of positive squares in 12 ways, for example, as 64416676 + 456164164 = 8026^2 + 21358^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 520580797 and 520580806.

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 23 ways as a sum of consecutive naturals, for example, 357554 + ... + 359006.

Almost surely, 2520580840 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 520580840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646579260).

520580840 is an abundant number, since it is smaller than the sum of its proper divisors (772577680).

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

520580840 is a wasteful number, since it uses less digits than its factorization.

520580840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 520580840 is about 22816.2407070052. The cubic root of 520580840 is about 804.4444503514. Note that the first 4 decimals are identical.

The spelling of 520580840 in words is "five hundred twenty million, five hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 169 212 260 265 338 424 520 530 676 689 845 1060 1352 1378 1453 1690 2120 2756 2906 3380 3445 5512 5812 6760 6890 7265 8957 11624 13780 14530 17914 18889 27560 29060 35828 37778 44785 58120 71656 75556 77009 89570 94445 151112 154018 179140 188890 245557 308036 358280 377780 385045 491114 616072 755560 770090 982228 1001117 1227785 1540180 1964456 2002234 2455570 3080360 4004468 4911140 5005585 8008936 9822280 10011170 13014521 20022340 26029042 40044680 52058084 65072605 104116168 130145210 260290420 520580840