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520330000 = 245461853
BaseRepresentation
bin11111000000111…
…001101100010000
31100021002111120111
4133000321230100
52031201030000
6123344251104
715615506041
oct3700715420
91307074514
10520330000
112477926a3
12126310a94
1383a52798
144d1688c8
1530a31cba
hex1f039b10

520330000 has 100 divisors (see below), whose sum is σ = 1281924028. Its totient is φ = 204480000.

The previous prime is 520329949. The next prime is 520330037. The reversal of 520330000 is 33025.

It can be written as a sum of positive squares in 10 ways, for example, as 517653504 + 2676496 = 22752^2 + 1636^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 609574 + ... + 610426.

Almost surely, 2520330000 is an apocalyptic number.

520330000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640962014).

520330000 is an abundant number, since it is smaller than the sum of its proper divisors (761594028).

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

520330000 is an equidigital number, since it uses as much as digits as its factorization.

520330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 520330000 is about 22810.7430830300. The cubic root of 520330000 is about 804.3152233744.

Adding to 520330000 its reverse (33025), we get a palindrome (520363025).

The spelling of 520330000 in words is "five hundred twenty million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 625 853 976 1000 1220 1250 1525 1706 2000 2440 2500 3050 3412 4265 4880 5000 6100 6824 7625 8530 10000 12200 13648 15250 17060 21325 24400 30500 34120 38125 42650 52033 61000 68240 76250 85300 104066 106625 122000 152500 170600 208132 213250 260165 305000 341200 416264 426500 520330 533125 610000 832528 853000 1040660 1066250 1300825 1706000 2081320 2132500 2601650 4162640 4265000 5203300 6504125 8530000 10406600 13008250 20813200 26016500 32520625 52033000 65041250 104066000 130082500 260165000 520330000