Search a number
-
+
10007741 is a prime number
BaseRepresentation
bin100110001011…
…010010111101
3200211110001002
4212023102331
510030221431
6554300045
7151031042
oct46132275
920743032
1010007741
115715a67
123427625
1320c5253
1414871c9
15d2a3cb
hex98b4bd

10007741 has 2 divisors, whose sum is σ = 10007742. Its totient is φ = 10007740.

The previous prime is 10007719. The next prime is 10007771. The reversal of 10007741 is 14770001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9947716 + 60025 = 3154^2 + 245^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007741 - 214 = 9991357 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10007771) 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, 5003870 + 5003871.

It is an arithmetic number, because the mean of its divisors is an integer number (5003871).

Almost surely, 210007741 is an apocalyptic number.

It is an amenable number.

10007741 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007741 is an equidigital number, since it uses as much as digits as its factorization.

10007741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 10007741 is about 3163.5013829616. The cubic root of 10007741 is about 215.4990462613.

Adding to 10007741 its reverse (14770001), we get a palindrome (24777742).

The spelling of 10007741 in words is "ten million, seven thousand, seven hundred forty-one".