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520542000 = 243253112239
BaseRepresentation
bin11111000001101…
…101011100110000
31100021111021101100
4133001231130300
52031224321000
6123353004400
715620351106
oct3701553460
91307437340
10520542000
11247917a00
121263b3700
1383ac8124
144d1c1c76
1530a74a00
hex1f06d730

520542000 has 360 divisors, whose sum is σ = 2006746560. Its totient is φ = 125664000.

The previous prime is 520541999. The next prime is 520542007. The reversal of 520542000 is 245025.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520542007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2177881 + ... + 2178119.

It is an arithmetic number, because the mean of its divisors is an integer number (5574296).

Almost surely, 2520542000 is an apocalyptic number.

520542000 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 520542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003373280).

520542000 is an abundant number, since it is smaller than the sum of its proper divisors (1486204560).

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

520542000 is a wasteful number, since it uses less digits than its factorization.

520542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 520542000 is about 22815.3895430256. The cubic root of 520542000 is about 804.4244435967.

Adding to 520542000 its reverse (245025), we get a palindrome (520787025).

The spelling of 520542000 in words is "five hundred twenty million, five hundred forty-two thousand".