Base | Representation |
---|---|
bin | 1100101010001… |
… | …1111100100000 |
3 | 10200220202221112 |
4 | 3022203330200 |
5 | 102043202240 |
6 | 5134042452 |
7 | 1213226300 |
oct | 312437440 |
9 | 120822845 |
10 | 53100320 |
11 | 27a79069 |
12 | 15949428 |
13 | b002610 |
14 | 70a3600 |
15 | 49dd665 |
hex | 32a3f20 |
53100320 has 144 divisors (see below), whose sum is σ = 157458168. Its totient is φ = 16773120.
The previous prime is 53100319. The next prime is 53100323. The reversal of 53100320 is 2300135.
It can be written as a sum of positive squares in 4 ways, for example, as 27415696 + 25684624 = 5236^2 + 5068^2 .
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 53100295 and 53100304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53100323) 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, 101660 + ... + 102180.
Almost surely, 253100320 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 53100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78729084).
53100320 is an abundant number, since it is smaller than the sum of its proper divisors (104357848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53100320 is a wasteful number, since it uses less digits than its factorization.
53100320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 563 (or 548 counting only the distinct ones).
The product of its (nonzero) digits is 90, while the sum is 14.
The square root of 53100320 is about 7286.9966378474. The cubic root of 53100320 is about 375.8654264144.
Adding to 53100320 its reverse (2300135), we get a palindrome (55400455).
The spelling of 53100320 in words is "fifty-three million, one hundred thousand, three hundred twenty".
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