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10064009 is a prime number
BaseRepresentation
bin100110011001…
…000010001001
3200221022020002
4212121002021
510034022014
6555412345
7151354064
oct46310211
920838202
1010064009
11575426a
1234540b5
132114a47
14149d8db
15d3bdde
hex999089

10064009 has 2 divisors, whose sum is σ = 10064010. Its totient is φ = 10064008.

The previous prime is 10063987. The next prime is 10064023. The reversal of 10064009 is 90046001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6175225 + 3888784 = 2485^2 + 1972^2 .

It is an emirp because it is prime and its reverse (90046001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10064009 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10064029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5032004 + 5032005.

It is an arithmetic number, because the mean of its divisors is an integer number (5032005).

Almost surely, 210064009 is an apocalyptic number.

It is an amenable number.

10064009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10064009 is an equidigital number, since it uses as much as digits as its factorization.

10064009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10064009 is about 3172.3822279164. The cubic root of 10064009 is about 215.9021690601.

It can be divided in two parts, 100 and 64009, that multiplied together give a square (6400900 = 25302).

The spelling of 10064009 in words is "ten million, sixty-four thousand, nine".