| Base | Representation |
|---|---|
| bin | 110110010000000 |
| 3 | 1102002202 |
| 4 | 12302000 |
| 5 | 1342101 |
| 6 | 332332 |
| 7 | 143660 |
| oct | 66200 |
| 9 | 42082 |
| 10 | 27776 |
| 11 | 19961 |
| 12 | 140a8 |
| 13 | c848 |
| 14 | a1a0 |
| 15 | 836b |
| hex | 6c80 |
27776 has 32 divisors (see below), whose sum is σ = 65280. Its totient is φ = 11520.
The previous prime is 27773. The next prime is 27779. The reversal of 27776 is 67772.
It is an interprime number because it is at equal distance from previous prime (27773) and next prime (27779).
It is a tau number, because it is divible by the number of its divisors (32).
It is an Ulam number.
It is a cake number, because a cake can be divided into 27776 parts by 55 planar cuts.
It is a nialpdrome in base 8.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27776.
It is not an unprimeable number, because it can be changed into a prime (27773) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 881 + ... + 911.
It is an arithmetic number, because the mean of its divisors is an integer number (2040).
227776 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 27776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32640).
27776 is an abundant number, since it is smaller than the sum of its proper divisors (37504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27776 is an equidigital number, since it uses as much as digits as its factorization.
27776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52 (or 40 counting only the distinct ones).
The product of its digits is 4116, while the sum is 29.
The square root of 27776 is about 166.6613332480. The cubic root of 27776 is about 30.2846971128.
It can be divided in two parts, 277 and 76, that added together give a palindrome (353).
The spelling of 27776 in words is "twenty-seven thousand, seven hundred seventy-six".
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