Search a number
-
+
27240977 is a prime number
BaseRepresentation
bin110011111101…
…0101000010001
31220020222121002
41213322220101
523433202402
62411511345
7450354521
oct147725021
956228532
1027240977
1114416605
129158555
13584a22a
143891681
1525d1602
hex19faa11

27240977 has 2 divisors, whose sum is σ = 27240978. Its totient is φ = 27240976.

The previous prime is 27240937. The next prime is 27240979. The reversal of 27240977 is 77904272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17007376 + 10233601 = 4124^2 + 3199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27240977 is a prime.

Together with 27240979, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27240977.

It is not a weakly prime, because it can be changed into another prime (27240979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13620488 + 13620489.

It is an arithmetic number, because the mean of its divisors is an integer number (13620489).

Almost surely, 227240977 is an apocalyptic number.

It is an amenable number.

27240977 is a deficient number, since it is larger than the sum of its proper divisors (1).

27240977 is an equidigital number, since it uses as much as digits as its factorization.

27240977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 27240977 is about 5219.2889362441. The cubic root of 27240977 is about 300.8898652636.

The spelling of 27240977 in words is "twenty-seven million, two hundred forty thousand, nine hundred seventy-seven".