Search a number
-
+
10042009 is a prime number
BaseRepresentation
bin100110010011…
…101010011001
3200220012001021
4212103222121
510032321014
6555122441
7151232665
oct46235231
920805037
1010042009
11573978a
123443421
132107a23
1414958a5
15d35624
hex993a99

10042009 has 2 divisors, whose sum is σ = 10042010. Its totient is φ = 10042008.

The previous prime is 10042001. The next prime is 10042031. The reversal of 10042009 is 90024001.

10042009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5929225 + 4112784 = 2435^2 + 2028^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042009 - 23 = 10042001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10041983 and 10042001.

It is not a weakly prime, because it can be changed into another prime (10042001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021004 + 5021005.

It is an arithmetic number, because the mean of its divisors is an integer number (5021005).

Almost surely, 210042009 is an apocalyptic number.

It is an amenable number.

10042009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042009 is an equidigital number, since it uses as much as digits as its factorization.

10042009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10042009 is about 3168.9129050828. The cubic root of 10042009 is about 215.7447330258.

It can be divided in two parts, 1004 and 2009, that multiplied together give a triangular number (2017036 = T2008).

The spelling of 10042009 in words is "ten million, forty-two thousand, nine".