Base | Representation |
---|---|
bin | 1100101010101… |
… | …1010000000000 |
3 | 10200222021222200 |
4 | 3022223100000 |
5 | 102100131430 |
6 | 5134433200 |
7 | 1213412442 |
oct | 312532000 |
9 | 120867880 |
10 | 53130240 |
11 | 27a99599 |
12 | 15962800 |
13 | b013117 |
14 | 70b0492 |
15 | 49e7460 |
hex | 32ab400 |
53130240 has 132 divisors (see below), whose sum is σ = 184254564. Its totient is φ = 14155776.
The previous prime is 53130199. The next prime is 53130247. The reversal of 53130240 is 4203135.
It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 22127616 = 5568^2 + 4704^2 .
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 (53130247) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45504 + ... + 46656.
Almost surely, 253130240 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 53130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92127282).
53130240 is an abundant number, since it is smaller than the sum of its proper divisors (131124324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53130240 is a wasteful number, since it uses less digits than its factorization.
53130240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1184 (or 1163 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 53130240 is about 7289.0493207276. The cubic root of 53130240 is about 375.9360084248.
Adding to 53130240 its reverse (4203135), we get a palindrome (57333375).
The spelling of 53130240 in words is "fifty-three million, one hundred thirty thousand, two hundred forty".
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