Base | Representation |
---|---|
bin | 11110011001111… |
… | …000111000000000 |
3 | 1022112211220211012 |
4 | 132121320320000 |
5 | 2021041244130 |
6 | 122341140052 |
7 | 15432542606 |
oct | 3631707000 |
9 | 1275756735 |
10 | 510103040 |
11 | 241a37a67 |
12 | 1229ba628 |
13 | 818b1825 |
14 | 4ba65876 |
15 | 2ebb1995 |
hex | 1e678e00 |
510103040 has 80 divisors (see below), whose sum is σ = 1265410080. Its totient is φ = 196976640.
The previous prime is 510103031. The next prime is 510103057. The reversal of 510103040 is 40301015.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×5101030402 = 520410222834483200, which contains 22 as substring.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 70805 + ... + 77675.
It is an arithmetic number, because the mean of its divisors is an integer number (15817626).
Almost surely, 2510103040 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 510103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632705040).
510103040 is an abundant number, since it is smaller than the sum of its proper divisors (755307040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
510103040 is an equidigital number, since it uses as much as digits as its factorization.
510103040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6923 (or 6907 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 14.
The square root of 510103040 is about 22585.4608099990. The cubic root of 510103040 is about 799.0107773022.
Adding to 510103040 its reverse (40301015), we get a palindrome (550404055).
The spelling of 510103040 in words is "five hundred ten million, one hundred three thousand, forty".
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