Search a number
-
+
20647577 is a prime number
BaseRepresentation
bin100111011000…
…0111010011001
31102212000011002
41032300322121
520241210302
62014314345
7340334006
oct116607231
942760132
1020647577
1110722915
126ab89b5
13437c102
142a568ad
151c2cc02
hex13b0e99

20647577 has 2 divisors, whose sum is σ = 20647578. Its totient is φ = 20647576.

The previous prime is 20647567. The next prime is 20647579. The reversal of 20647577 is 77574602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20620681 + 26896 = 4541^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 20647577 - 26 = 20647513 is a prime.

Together with 20647579, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20647577.

It is not a weakly prime, because it can be changed into another prime (20647579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10323788 + 10323789.

It is an arithmetic number, because the mean of its divisors is an integer number (10323789).

Almost surely, 220647577 is an apocalyptic number.

It is an amenable number.

20647577 is a deficient number, since it is larger than the sum of its proper divisors (1).

20647577 is an equidigital number, since it uses as much as digits as its factorization.

20647577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 20647577 is about 4543.9604971874. The cubic root of 20647577 is about 274.3403561644.

Subtracting 20647577 from its reverse (77574602), we obtain a square (56927025 = 75452).

The spelling of 20647577 in words is "twenty million, six hundred forty-seven thousand, five hundred seventy-seven".