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10027009 is a prime number
BaseRepresentation
bin100110010000…
…000000000001
3200212102110201
4212100000001
510031331014
6554525201
7151141156
oct46200001
920772421
1010027009
115729493
123436801
132100c55
14149022d
15d30e74
hex990001

10027009 has 2 divisors, whose sum is σ = 10027010. Its totient is φ = 10027008.

The previous prime is 10026979. The next prime is 10027021. The reversal of 10027009 is 90072001.

10027009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9591409 + 435600 = 3097^2 + 660^2 .

It is a cyclic number.

It is not a de Polignac number, because 10027009 - 27 = 10026881 is a prime.

It is not a weakly prime, because it can be changed into another prime (10027099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5013504 + 5013505.

It is an arithmetic number, because the mean of its divisors is an integer number (5013505).

It is a Proth number, since it is equal to 153 ⋅ 216 + 1 and 153 < 216.

Almost surely, 210027009 is an apocalyptic number.

It is an amenable number.

10027009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10027009 is an equidigital number, since it uses as much as digits as its factorization.

10027009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10027009 is about 3166.5452783752. The cubic root of 10027009 is about 215.6372583943.

The spelling of 10027009 in words is "ten million, twenty-seven thousand, nine".