Search a number
-
+
401000627 is a prime number
BaseRepresentation
bin10111111001101…
…100100010110011
31000221112221110002
4113321230202303
51310124010002
6103442500215
712636310016
oct2771544263
91027487402
10401000627
11196399785
12b236466b
1365101ba1
143b38537d
1525310002
hex17e6c8b3

401000627 has 2 divisors, whose sum is σ = 401000628. Its totient is φ = 401000626.

The previous prime is 401000557. The next prime is 401000629. The reversal of 401000627 is 726000104.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 401000627 - 210 = 400999603 is a prime.

Together with 401000629, 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 = 401000599 and 401000608.

It is not a weakly prime, because it can be changed into another prime (401000629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200500313 + 200500314.

It is an arithmetic number, because the mean of its divisors is an integer number (200500314).

Almost surely, 2401000627 is an apocalyptic number.

401000627 is a deficient number, since it is larger than the sum of its proper divisors (1).

401000627 is an equidigital number, since it uses as much as digits as its factorization.

401000627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 401000627 is about 20025.0000499376. Note that the first 4 decimals coincide. The cubic root of 401000627 is about 737.4201783571.

The spelling of 401000627 in words is "four hundred one million, six hundred twenty-seven", and thus it is an aban number.