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400106393 is a prime number
BaseRepresentation
bin10111110110010…
…010001110011001
31000212212111210022
4113312102032121
51304411401033
6103411400225
712625563641
oct2766221631
91025774708
10400106393
11195938945
12b1bb3075
1364b7ab5b
143b1d1521
15251d5098
hex17d92399

400106393 has 2 divisors, whose sum is σ = 400106394. Its totient is φ = 400106392.

The previous prime is 400106363. The next prime is 400106411. The reversal of 400106393 is 393601004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286726489 + 113379904 = 16933^2 + 10648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400106393 is a prime.

It is not a weakly prime, because it can be changed into another prime (400106303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200053196 + 200053197.

It is an arithmetic number, because the mean of its divisors is an integer number (200053197).

Almost surely, 2400106393 is an apocalyptic number.

It is an amenable number.

400106393 is a deficient number, since it is larger than the sum of its proper divisors (1).

400106393 is an equidigital number, since it uses as much as digits as its factorization.

400106393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 400106393 is about 20002.6596481568. The cubic root of 400106393 is about 736.8716197976.

Adding to 400106393 its reverse (393601004), we get a palindrome (793707397).

The spelling of 400106393 in words is "four hundred million, one hundred six thousand, three hundred ninety-three".