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503130240 = 27325113773
BaseRepresentation
bin11101111111010…
…010100010000000
31022001201122221100
4131333102202000
52012300131430
6121531454400
715316352004
oct3577224200
91261648840
10503130240
11239005218
121205b7400
138030cb02
144ab6c704
152e285960
hex1dfd2880

503130240 has 192 divisors, whose sum is σ = 1755014040. Its totient is φ = 132808704.

The previous prime is 503130239. The next prime is 503130247. The reversal of 503130240 is 42031305.

It can be written as a sum of positive squares in 4 ways, for example, as 122412096 + 380718144 = 11064^2 + 19512^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (503130247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650494 + ... + 651266.

Almost surely, 2503130240 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 503130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877507020).

503130240 is an abundant number, since it is smaller than the sum of its proper divisors (1251883800).

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

503130240 is a wasteful number, since it uses less digits than its factorization.

503130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 503130240 is about 22430.5648613672. The cubic root of 503130240 is about 795.3533969356.

Adding to 503130240 its reverse (42031305), we get a palindrome (545161545).

The spelling of 503130240 in words is "five hundred three million, one hundred thirty thousand, two hundred forty".