Base | Representation |
---|---|
bin | 1100101001010… |
… | …1001111100100 |
3 | 10200210201100011 |
4 | 3022111033210 |
5 | 102034240400 |
6 | 5132500004 |
7 | 1212555601 |
oct | 312251744 |
9 | 120721304 |
10 | 53040100 |
11 | 27a378a3 |
12 | 1591a604 |
13 | acb1099 |
14 | 70896a8 |
15 | 49ca8ba |
hex | 32953e4 |
53040100 has 18 divisors (see below), whose sum is σ = 115097234. Its totient is φ = 21216000.
The previous prime is 53040061. The next prime is 53040107. The reversal of 53040100 is 104035.
53040100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 46321636 = 2592^2 + 6806^2 .
It is not an unprimeable number, because it can be changed into a prime (53040107) 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 5 ways as a sum of consecutive naturals, for example, 265101 + ... + 265300.
Almost surely, 253040100 is an apocalyptic number.
53040100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
53040100 is an abundant number, since it is smaller than the sum of its proper divisors (62057134).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53040100 is a wasteful number, since it uses less digits than its factorization.
53040100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 530415 (or 530408 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 13.
The square root of 53040100 is about 7282.8634478480. The cubic root of 53040100 is about 375.7232855393.
Adding to 53040100 its reverse (104035), we get a palindrome (53144135).
The spelling of 53040100 in words is "fifty-three million, forty thousand, one hundred".
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