Base | Representation |
---|---|
bin | 110011001111… |
… | …010011000000 |
3 | 221021102020111 |
4 | 303033103000 |
5 | 11414311000 |
6 | 1155521104 |
7 | 222112231 |
oct | 63172300 |
9 | 27242214 |
10 | 13432000 |
11 | 764472a |
12 | 45b9194 |
13 | 2a23a3a |
14 | 1ad9088 |
15 | 12a4cba |
hex | ccf4c0 |
13432000 has 112 divisors (see below), whose sum is σ = 35186112. Its totient is φ = 5068800.
The previous prime is 13431991. The next prime is 13432009. The reversal of 13432000 is 23431.
It is an interprime number because it is at equal distance from previous prime (13431991) and next prime (13432009).
It is not an unprimeable number, because it can be changed into a prime (13432009) 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 15 ways as a sum of consecutive naturals, for example, 183964 + ... + 184036.
Almost surely, 213432000 is an apocalyptic number.
13432000 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 13432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593056).
13432000 is an abundant number, since it is smaller than the sum of its proper divisors (21754112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13432000 is an equidigital number, since it uses as much as digits as its factorization.
13432000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123 (or 103 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 13432000 is about 3664.9693041006. The cubic root of 13432000 is about 237.7096947638.
Adding to 13432000 its reverse (23431), we get a palindrome (13455431).
The spelling of 13432000 in words is "thirteen million, four hundred thirty-two thousand".
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