Search a number
-
+
400401073 is a prime number
BaseRepresentation
bin10111110111011…
…010001010110001
31000220102111000101
4113313122022301
51310000313243
6103421552401
712631232032
oct2767321261
91026374011
10400401073
1119601a286
12b2115701
1364c52017
143b26aa89
152524254d
hex17dda2b1

400401073 has 2 divisors, whose sum is σ = 400401074. Its totient is φ = 400401072.

The previous prime is 400401059. The next prime is 400401083. The reversal of 400401073 is 370104004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398880784 + 1520289 = 19972^2 + 1233^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400401073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400401073.

It is not a weakly prime, because it can be changed into another prime (400401083) 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, 200200536 + 200200537.

It is an arithmetic number, because the mean of its divisors is an integer number (200200537).

Almost surely, 2400401073 is an apocalyptic number.

It is an amenable number.

400401073 is a deficient number, since it is larger than the sum of its proper divisors (1).

400401073 is an equidigital number, since it uses as much as digits as its factorization.

400401073 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 19.

The square root of 400401073 is about 20010.0243128288. The cubic root of 400401073 is about 737.0524783943.

Adding to 400401073 its reverse (370104004), we get a palindrome (770505077).

The spelling of 400401073 in words is "four hundred million, four hundred one thousand, seventy-three".