Base | Representation |
---|---|
bin | 110100000000… |
… | …1111111000000 |
3 | 1220022111220220 |
4 | 1220001333000 |
5 | 23440133404 |
6 | 2412303040 |
7 | 450541410 |
oct | 150017700 |
9 | 56274826 |
10 | 27271104 |
11 | 14437203 |
12 | 9171a80 |
13 | 585ab63 |
14 | 389c640 |
15 | 25da4d9 |
hex | 1a01fc0 |
27271104 has 112 divisors (see below), whose sum is σ = 83685888. Its totient is φ = 7676928.
The previous prime is 27271067. The next prime is 27271129. The reversal of 27271104 is 40117272.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×272711042 = 1487426226757632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138334 + ... + 138530.
Almost surely, 227271104 is an apocalyptic number.
27271104 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 27271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41842944).
27271104 is an abundant number, since it is smaller than the sum of its proper divisors (56414784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27271104 is a wasteful number, since it uses less digits than its factorization.
27271104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 322 (or 312 counting only the distinct ones).
The product of its (nonzero) digits is 784, while the sum is 24.
The square root of 27271104 is about 5222.1742598270. The cubic root of 27271104 is about 301.0007468626. Note that the first 3 decimals are identical.
Adding to 27271104 its reverse (40117272), we get a palindrome (67388376).
The spelling of 27271104 in words is "twenty-seven million, two hundred seventy-one thousand, one hundred four".
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