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520005780 = 2232573113313
BaseRepresentation
bin11110111111101…
…010100010010100
31100020111000211100
4132333222202110
52031110141110
6123333310100
715612655560
oct3677524224
91306430740
10520005780
11247591048
12126195330
138396b038
144d0c26a0
15309babc0
hex1efea894

520005780 has 144 divisors (see below), whose sum is σ = 1860977664. Its totient is φ = 115015680.

The previous prime is 520005743. The next prime is 520005799. The reversal of 520005780 is 87500025.

It is a happy number.

It is a super-2 number, since 2×5200057802 = 540812022466816800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 32404 + ... + 45716.

It is an arithmetic number, because the mean of its divisors is an integer number (12923456).

Almost surely, 2520005780 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 520005780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930488832).

520005780 is an abundant number, since it is smaller than the sum of its proper divisors (1340971884).

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

520005780 is a wasteful number, since it uses less digits than its factorization.

520005780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366 (or 13361 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 520005780 is about 22803.6352365144. The cubic root of 520005780 is about 804.1481311677.

The spelling of 520005780 in words is "five hundred twenty million, five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 13020 13313 19530 26626 39060 39939 53252 66565 79878 93191 119817 133130 159756 186382 199695 239634 266260 279573 372764 399390 412703 465955 479268 559146 599085 798780 825406 838719 931910 1118292 1198170 1238109 1397865 1650812 1677438 1863820 2063515 2396340 2476218 2795730 2888921 3354876 3714327 4127030 4193595 4952436 5591460 5777842 6190545 7428654 8254060 8387190 8666763 11555684 12381090 14444605 14857308 16774380 17333526 18571635 24762180 26000289 28889210 34667052 37143270 43333815 52000578 57778420 74286540 86667630 104001156 130001445 173335260 260002890 520005780