Base | Representation |
---|---|
bin | 110011110000… |
… | …0000100100000 |
3 | 1220001110101000 |
4 | 1213200010200 |
5 | 23421212232 |
6 | 2405312000 |
7 | 446422413 |
oct | 147400440 |
9 | 56043330 |
10 | 27132192 |
11 | 143518aa |
12 | 9105600 |
13 | 580c869 |
14 | 3863b7a |
15 | 25ae27c |
hex | 19e0120 |
27132192 has 96 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 8743680.
The previous prime is 27132179. The next prime is 27132199. The reversal of 27132192 is 29123172.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (27132199) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26278 + ... + 27290.
It is an arithmetic number, because the mean of its divisors is an integer number (851760).
Almost surely, 227132192 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 27132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).
27132192 is an abundant number, since it is smaller than the sum of its proper divisors (54636768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27132192 is a wasteful number, since it uses less digits than its factorization.
27132192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).
The product of its digits is 1512, while the sum is 27.
The square root of 27132192 is about 5208.8570723336. The cubic root of 27132192 is about 300.4888031391.
The spelling of 27132192 in words is "twenty-seven million, one hundred thirty-two thousand, one hundred ninety-two".
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