Base | Representation |
---|---|
bin | 110011101111… |
… | …0000100010000 |
3 | 1220001001010000 |
4 | 1213132010100 |
5 | 23420431414 |
6 | 2405210000 |
7 | 446356446 |
oct | 147360420 |
9 | 56031100 |
10 | 27123984 |
11 | 14346718 |
12 | 9100900 |
13 | 5808bc4 |
14 | 3860b96 |
15 | 25abb09 |
hex | 19de110 |
27123984 has 50 divisors (see below), whose sum is σ = 78508430. Its totient is φ = 9040896.
The previous prime is 27123983. The next prime is 27123989. The reversal of 27123984 is 48932172.
It can be written as a sum of positive squares in only one way, i.e., 23619600 + 3504384 = 4860^2 + 1872^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (27123983) 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 9 ways as a sum of consecutive naturals, for example, 9169 + ... + 11760.
Almost surely, 227123984 is an apocalyptic number.
27123984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
27123984 is an abundant number, since it is smaller than the sum of its proper divisors (51384446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27123984 is a wasteful number, since it uses less digits than its factorization.
27123984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20949 (or 20934 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 27123984 is about 5208.0691239652. The cubic root of 27123984 is about 300.4584989055.
The spelling of 27123984 in words is "twenty-seven million, one hundred twenty-three thousand, nine hundred eighty-four".
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