Base | Representation |
---|---|
bin | 11111000000110… |
… | …101010011100000 |
3 | 1100021001120221000 |
4 | 133000311103200 |
5 | 2031144441112 |
6 | 123344032000 |
7 | 15615402462 |
oct | 3700652340 |
9 | 1307046830 |
10 | 520312032 |
11 | 247780149 |
12 | 126302600 |
13 | 83a47556 |
14 | 4d162132 |
15 | 30a2b7dc |
hex | 1f0354e0 |
520312032 has 144 divisors (see below), whose sum is σ = 1552657680. Its totient is φ = 169512192.
The previous prime is 520312031. The next prime is 520312061. The reversal of 520312032 is 230213025.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×5203120322 = 541449221287938048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 520311996 and 520312014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (520312031) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 3007498 + ... + 3007670.
It is an arithmetic number, because the mean of its divisors is an integer number (10782345).
Almost surely, 2520312032 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 520312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776328840).
520312032 is an abundant number, since it is smaller than the sum of its proper divisors (1032345648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
520312032 is a wasteful number, since it uses less digits than its factorization.
520312032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 310 (or 237 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 520312032 is about 22810.3492301192. The cubic root of 520312032 is about 804.3059650818.
Adding to 520312032 its reverse (230213025), we get a palindrome (750525057).
The spelling of 520312032 in words is "five hundred twenty million, three hundred twelve thousand, thirty-two".
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