Base | Representation |
---|---|
bin | 110001101110… |
… | …011101000000 |
3 | 220112021002221 |
4 | 301232131000 |
5 | 11314112303 |
6 | 1143220424 |
7 | 215540605 |
oct | 61563500 |
9 | 26467087 |
10 | 13035328 |
11 | 73a36a9 |
12 | 4447714 |
13 | 2915317 |
14 | 1a346ac |
15 | 12274bd |
hex | c6e740 |
13035328 has 28 divisors (see below), whose sum is σ = 27390852. Its totient is φ = 6133760.
The previous prime is 13035313. The next prime is 13035329. The reversal of 13035328 is 82353031.
It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 1420864 = 3408^2 + 1192^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13035329) 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 3 ways as a sum of consecutive naturals, for example, 4903 + ... + 7078.
Almost surely, 213035328 is an apocalyptic number.
It is an amenable number.
13035328 is an abundant number, since it is smaller than the sum of its proper divisors (14355524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13035328 is a wasteful number, since it uses less digits than its factorization.
13035328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12010 (or 12000 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 25.
The square root of 13035328 is about 3610.4470637305. The cubic root of 13035328 is about 235.3462708707.
Adding to 13035328 its reverse (82353031), we get a palindrome (95388359).
The spelling of 13035328 in words is "thirteen million, thirty-five thousand, three hundred twenty-eight".
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