| Base | Representation |
|---|---|
| bin | 110011101110… |
| … | …1000110000000 |
| 3 | 1220000211122110 |
| 4 | 1213131012000 |
| 5 | 23420320000 |
| 6 | 2405135320 |
| 7 | 446342025 |
| oct | 147350600 |
| 9 | 56024573 |
| 10 | 27120000 |
| 11 | 14343726 |
| 12 | 90ba540 |
| 13 | 580714b |
| 14 | 385d54c |
| 15 | 25aa850 |
| hex | 19dd180 |
27120000 has 160 divisors (see below), whose sum is σ = 90814680. Its totient is φ = 7168000.
The previous prime is 27119993. The next prime is 27120007. The reversal of 27120000 is 2172.
It is an interprime number because it is at equal distance from previous prime (27119993) and next prime (27120007).
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (27120007) 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 19 ways as a sum of consecutive naturals, for example, 239944 + ... + 240056.
Almost surely, 227120000 is an apocalyptic number.
27120000 is a gapful number since it is divisible by the number (20) 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 27120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45407340).
27120000 is an abundant number, since it is smaller than the sum of its proper divisors (63694680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27120000 is an equidigital number, since it uses as much as digits as its factorization.
27120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150 (or 123 counting only the distinct ones).
The product of its (nonzero) digits is 28, while the sum is 12.
The square root of 27120000 is about 5207.6866265166. The cubic root of 27120000 is about 300.4437876292.
Adding to 27120000 its reverse (2172), we get a palindrome (27122172).
It can be divided in two parts, 27 and 120000, that multiplied together give a square (3240000 = 18002).
The spelling of 27120000 in words is "twenty-seven million, one hundred twenty thousand".
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