Base | Representation |
---|---|
bin | 11110101001010… |
… | …000010001100000 |
3 | 1022211102120012101 |
4 | 132221100101200 |
5 | 2023104143130 |
6 | 123003340144 |
7 | 15512020213 |
oct | 3651202140 |
9 | 1284376171 |
10 | 514131040 |
11 | 244239295 |
12 | 124221654 |
13 | 82692067 |
14 | 4c3d377a |
15 | 3020a1ca |
hex | 1ea50460 |
514131040 has 96 divisors (see below), whose sum is σ = 1240825824. Its totient is φ = 201277440.
The previous prime is 514131031. The next prime is 514131047. The reversal of 514131040 is 40131415.
It is a junction number, because it is equal to n+sod(n) for n = 514130999 and 514131017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (514131047) 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 15 ways as a sum of consecutive naturals, for example, 2436535 + ... + 2436745.
It is an arithmetic number, because the mean of its divisors is an integer number (12925269).
Almost surely, 2514131040 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 514131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620412912).
514131040 is an abundant number, since it is smaller than the sum of its proper divisors (726694784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
514131040 is a wasteful number, since it uses less digits than its factorization.
514131040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 480 (or 472 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
The square root of 514131040 is about 22674.4578766505. The cubic root of 514131040 is about 801.1083803238.
Adding to 514131040 its reverse (40131415), we get a palindrome (554262455).
The spelling of 514131040 in words is "five hundred fourteen million, one hundred thirty-one thousand, forty".
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