Base | Representation |
---|---|
bin | 110001100110… |
… | …100111010100 |
3 | 220110122001202 |
4 | 301212213110 |
5 | 11312100340 |
6 | 1142412032 |
7 | 215345156 |
oct | 61464724 |
9 | 26418052 |
10 | 13003220 |
11 | 738156a |
12 | 4431018 |
13 | 2903819 |
14 | 1a26ad6 |
15 | 121cc15 |
hex | c669d4 |
13003220 has 36 divisors (see below), whose sum is σ = 28835604. Its totient is φ = 4924800.
The previous prime is 13003219. The next prime is 13003231. The reversal of 13003220 is 2230031.
13003220 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 2 ways, for example, as 3055504 + 9947716 = 1748^2 + 3154^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6320 + ... + 8120.
It is an arithmetic number, because the mean of its divisors is an integer number (800989).
Almost surely, 213003220 is an apocalyptic number.
13003220 is a gapful number since it is divisible by the number (10) 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 13003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417802).
13003220 is an abundant number, since it is smaller than the sum of its proper divisors (15832384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13003220 is a wasteful number, since it uses less digits than its factorization.
13003220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1848 (or 1827 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 13003220 is about 3605.9977814746. The cubic root of 13003220 is about 235.1528807533.
Adding to 13003220 its reverse (2230031), we get a palindrome (15233251).
The spelling of 13003220 in words is "thirteen million, three thousand, two hundred twenty".
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