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520040000 = 265413001
BaseRepresentation
bin11110111111110…
…010111001000000
31100020112202202202
4132333302321000
52031112240000
6123334132332
715613160414
oct3677627100
91306482682
10520040000
11247604827
121261b10a8
138398079c
144d0d0d44
15309c5dd5
hex1eff2e40

520040000 has 70 divisors (see below), whose sum is σ = 1289629374. Its totient is φ = 208000000.

The previous prime is 520039987. The next prime is 520040039. The reversal of 520040000 is 40025.

It can be written as a sum of positive squares in 5 ways, for example, as 374499904 + 145540096 = 19352^2 + 12064^2 .

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 9 ways as a sum of consecutive naturals, for example, 33500 + ... + 46500.

Almost surely, 2520040000 is an apocalyptic number.

520040000 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 520040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644814687).

520040000 is an abundant number, since it is smaller than the sum of its proper divisors (769589374).

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

520040000 is an equidigital number, since it uses as much as digits as its factorization.

520040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 520040000 is about 22804.3855431362. The cubic root of 520040000 is about 804.1657702956.

Adding to 520040000 its reverse (40025), we get a palindrome (520080025).

The spelling of 520040000 in words is "five hundred twenty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 13001 20000 26002 40000 52004 65005 104008 130010 208016 260020 325025 416032 520040 650050 832064 1040080 1300100 1625125 2080160 2600200 3250250 4160320 5200400 6500500 8125625 10400800 13001000 16251250 20801600 26002000 32502500 52004000 65005000 104008000 130010000 260020000 520040000