Base | Representation |
---|---|
bin | 110001100111… |
… | …110000111100 |
3 | 220110212112021 |
4 | 301213300330 |
5 | 11312223212 |
6 | 1142445524 |
7 | 215365000 |
oct | 61476074 |
9 | 26425467 |
10 | 13007932 |
11 | 7385063 |
12 | 44338a4 |
13 | 2905a02 |
14 | 1a28700 |
15 | 121e307 |
hex | c67c3c |
13007932 has 48 divisors (see below), whose sum is σ = 28000000. Its totient is φ = 5270832.
The previous prime is 13007923. The next prime is 13007959. The reversal of 13007932 is 23970031.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 13007897 and 13007906.
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 15 ways as a sum of consecutive naturals, for example, 25819 + ... + 26317.
Almost surely, 213007932 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 13007932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14000000).
13007932 is an abundant number, since it is smaller than the sum of its proper divisors (14992068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13007932 is a wasteful number, since it uses less digits than its factorization.
13007932 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 543 (or 527 counting only the distinct ones).
The product of its (nonzero) digits is 1134, while the sum is 25.
The square root of 13007932 is about 3606.6510782165. The cubic root of 13007932 is about 235.1812815791.
Adding to 13007932 its reverse (23970031), we get a palindrome (36977963).
The spelling of 13007932 in words is "thirteen million, seven thousand, nine hundred thirty-two".
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