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20967041 is a prime number
BaseRepresentation
bin100111111111…
…0111010000001
31110110020101002
41033332322001
520331421131
62025221345
7343134254
oct117767201
943406332
1020967041
1110920937
127031855
134461644
142adb09b
151c926cb
hex13fee81

20967041 has 2 divisors, whose sum is σ = 20967042. Its totient is φ = 20967040.

The previous prime is 20966993. The next prime is 20967043. The reversal of 20967041 is 14076902.

20967041 is nontrivially palindromic in base 13.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17977600 + 2989441 = 4240^2 + 1729^2 .

It is a cyclic number.

It is not a de Polignac number, because 20967041 - 210 = 20966017 is a prime.

Together with 20967043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20966995 and 20967013.

It is not a weakly prime, because it can be changed into another prime (20967043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10483520 + 10483521.

It is an arithmetic number, because the mean of its divisors is an integer number (10483521).

Almost surely, 220967041 is an apocalyptic number.

It is an amenable number.

20967041 is a deficient number, since it is larger than the sum of its proper divisors (1).

20967041 is an equidigital number, since it uses as much as digits as its factorization.

20967041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 20967041 is about 4578.9781611185. The cubic root of 20967041 is about 275.7480065349.

The spelling of 20967041 in words is "twenty million, nine hundred sixty-seven thousand, forty-one".