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10738241 is a prime number
BaseRepresentation
bin101000111101…
…101001000001
3202012120002122
4220331221001
510222110431
61022054025
7160162553
oct50755101
922176078
1010738241
116074888
12371a315
1322bc8b7
1415d74d3
15e21a7b
hexa3da41

10738241 has 2 divisors, whose sum is σ = 10738242. Its totient is φ = 10738240.

The previous prime is 10738229. The next prime is 10738243. The reversal of 10738241 is 14283701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5880625 + 4857616 = 2425^2 + 2204^2 .

It is an emirp because it is prime and its reverse (14283701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10738241 is a prime.

Together with 10738243, 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 10738241.

It is not a weakly prime, because it can be changed into another prime (10738243) 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 as a sum of consecutive naturals, namely, 5369120 + 5369121.

It is an arithmetic number, because the mean of its divisors is an integer number (5369121).

Almost surely, 210738241 is an apocalyptic number.

It is an amenable number.

10738241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10738241 is an equidigital number, since it uses as much as digits as its factorization.

10738241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10738241 is about 3276.9255408080. The cubic root of 10738241 is about 220.6197470039.

The spelling of 10738241 in words is "ten million, seven hundred thirty-eight thousand, two hundred forty-one".