Base | Representation |
---|---|
bin | 110011100001… |
… | …0000000000000 |
3 | 1212211012102020 |
4 | 1213002000000 |
5 | 23403242044 |
6 | 2402521440 |
7 | 445400340 |
oct | 147020000 |
9 | 55735366 |
10 | 27009024 |
11 | 14278309 |
12 | 9066280 |
13 | 5798793 |
14 | 3830d20 |
15 | 2587a19 |
hex | 19c2000 |
27009024 has 112 divisors (see below), whose sum is σ = 82832448. Its totient is φ = 7667712.
The previous prime is 27009023. The next prime is 27009049. The reversal of 27009024 is 42090072.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 27008985 and 27009003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (27009023) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171954 + ... + 172110.
Almost surely, 227009024 is an apocalyptic number.
27009024 is a gapful number since it is divisible by the number (24) 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 27009024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41416224).
27009024 is an abundant number, since it is smaller than the sum of its proper divisors (55823424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27009024 is an equidigital number, since it uses as much as digits as its factorization.
27009024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 193 (or 169 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 24.
The square root of 27009024 is about 5197.0206849694. The cubic root of 27009024 is about 300.0334184994.
Adding to 27009024 its reverse (42090072), we get a palindrome (69099096).
The spelling of 27009024 in words is "twenty-seven million, nine thousand, twenty-four".
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