Base | Representation |
---|---|
bin | 11000110011101010000000 |
3 | 110020101111100 |
4 | 120303222000 |
5 | 3131044130 |
6 | 351214400 |
7 | 106163205 |
oct | 30635200 |
9 | 13211440 |
10 | 6503040 |
11 | 3741915 |
12 | 2217400 |
13 | 1468c6b |
14 | c13cac |
15 | 886c60 |
hex | 633a80 |
6503040 has 96 divisors (see below), whose sum is σ = 22475700. Its totient is φ = 1732608.
The previous prime is 6503033. The next prime is 6503041. The reversal of 6503040 is 403056.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 627264 = 2424^2 + 792^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (6503041) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5196 + ... + 6324.
Almost surely, 26503040 is an apocalyptic number.
6503040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237850).
6503040 is an abundant number, since it is smaller than the sum of its proper divisors (15972660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6503040 is a wasteful number, since it uses less digits than its factorization.
6503040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1154 (or 1139 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 6503040 is about 2550.1058801548. The cubic root of 6503040 is about 186.6546477522.
Adding to 6503040 its reverse (403056), we get a palindrome (6906096).
The spelling of 6503040 in words is "six million, five hundred three thousand, forty".
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