Search a number
-
+
27137041 is a prime number
BaseRepresentation
bin110011110000…
…1010000010001
31220001201000121
41213201100101
523421341131
62405350241
7446442511
oct147412021
956051017
1027137041
1114355508
129108381
135811b29
143865841
1525b0911
hex19e1411

27137041 has 2 divisors, whose sum is σ = 27137042. Its totient is φ = 27137040.

The previous prime is 27137027. The next prime is 27137087. The reversal of 27137041 is 14073172.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20061441 + 7075600 = 4479^2 + 2660^2 .

It is a cyclic number.

It is not a de Polignac number, because 27137041 - 219 = 26612753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27136997 and 27137015.

It is not a weakly prime, because it can be changed into another prime (27137141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13568520 + 13568521.

It is an arithmetic number, because the mean of its divisors is an integer number (13568521).

Almost surely, 227137041 is an apocalyptic number.

27137041 is the 2785-th centered heptagonal number.

It is an amenable number.

27137041 is a deficient number, since it is larger than the sum of its proper divisors (1).

27137041 is an equidigital number, since it uses as much as digits as its factorization.

27137041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 27137041 is about 5209.3225087337. The cubic root of 27137041 is about 300.5067029512.

The spelling of 27137041 in words is "twenty-seven million, one hundred thirty-seven thousand, forty-one".