Base | Representation |
---|---|
bin | 10011100111010000010000 |
3 | 100200012211200 |
4 | 103213100100 |
5 | 2304012040 |
6 | 302111200 |
7 | 61462566 |
oct | 23472020 |
9 | 10605750 |
10 | 5141520 |
11 | 29a199a |
12 | 187b500 |
13 | 10b0327 |
14 | 97ba36 |
15 | 6b8630 |
hex | 4e7410 |
5141520 has 120 divisors (see below), whose sum is σ = 17825496. Its totient is φ = 1327104.
The previous prime is 5141519. The next prime is 5141527. The reversal of 5141520 is 251415.
5141520 is a `hidden beast` number, since 5 + 141 + 520 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 4309776 = 912^2 + 2076^2 .
It is a tau number, because it is divible by the number of its divisors (120).
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 = 5141493 and 5141502.
It is not an unprimeable number, because it can be changed into a prime (5141527) 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, 26544 + ... + 26736.
Almost surely, 25141520 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 5141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912748).
5141520 is an abundant number, since it is smaller than the sum of its proper divisors (12683976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5141520 is a wasteful number, since it uses less digits than its factorization.
5141520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 249 (or 240 counting only the distinct ones).
The product of its (nonzero) digits is 200, while the sum is 18.
The square root of 5141520 is about 2267.4920066011. The cubic root of 5141520 is about 172.5959138936.
Adding to 5141520 its reverse (251415), we get a palindrome (5392935).
The spelling of 5141520 in words is "five million, one hundred forty-one thousand, five hundred twenty".
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