Base | Representation |
---|---|
bin | 1100110000110… |
… | …0110110010000 |
3 | 10201201121100121 |
4 | 3030030312100 |
5 | 102200430000 |
6 | 5151200024 |
7 | 1216666066 |
oct | 314146620 |
9 | 121647317 |
10 | 53530000 |
11 | 28241977 |
12 | 15b16014 |
13 | b123074 |
14 | 7176036 |
15 | 4a75b1a |
hex | 330cd90 |
53530000 has 100 divisors (see below), whose sum is σ = 133354188. Its totient is φ = 20800000.
The previous prime is 53529989. The next prime is 53530007. The reversal of 53530000 is 3535.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 20214016 + 33315984 = 4496^2 + 5772^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (53530007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 529950 + ... + 530050.
Almost surely, 253530000 is an apocalyptic number.
53530000 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 53530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66677094).
53530000 is an abundant number, since it is smaller than the sum of its proper divisors (79824188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53530000 is a wasteful number, since it uses less digits than its factorization.
53530000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 182 (or 161 counting only the distinct ones).
The product of its (nonzero) digits is 225, while the sum is 16.
The square root of 53530000 is about 7316.4198895361. The cubic root of 53530000 is about 376.8765200562.
Adding to 53530000 its reverse (3535), we get a palindrome (53533535).
It can be divided in two parts, 53 and 530000, that multiplied together give a square (28090000 = 53002).
The spelling of 53530000 in words is "fifty-three million, five hundred thirty thousand".
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