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10027949 is a prime number
BaseRepresentation
bin100110010000…
…001110101101
3200212110202112
4212100032231
510031343244
6554533405
7151144001
oct46201655
920773675
1010027949
11572a168
123437265
1321014c9
141490701
15d3139e
hex9903ad

10027949 has 2 divisors, whose sum is σ = 10027950. Its totient is φ = 10027948.

The previous prime is 10027921. The next prime is 10027993. The reversal of 10027949 is 94972001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8940100 + 1087849 = 2990^2 + 1043^2 .

It is an emirp because it is prime and its reverse (94972001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10027949 - 216 = 9962413 is a prime.

It is a super-2 number, since 2×100279492 = 201119522293202, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10027249) 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, 5013974 + 5013975.

It is an arithmetic number, because the mean of its divisors is an integer number (5013975).

Almost surely, 210027949 is an apocalyptic number.

It is an amenable number.

10027949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10027949 is an equidigital number, since it uses as much as digits as its factorization.

10027949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 10027949 is about 3166.6937016390. The cubic root of 10027949 is about 215.6439966180.

The spelling of 10027949 in words is "ten million, twenty-seven thousand, nine hundred forty-nine".