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400106893 is a prime number
BaseRepresentation
bin10111110110010…
…010010110001101
31000212212112110211
4113312102112031
51304411410033
6103411402421
712625565254
oct2766222615
91025775424
10400106893
1119593925a
12b1bb3411
1364b7b154
143b1d179b
15251d52cd
hex17d9258d

400106893 has 2 divisors, whose sum is σ = 400106894. Its totient is φ = 400106892.

The previous prime is 400106867. The next prime is 400106909. The reversal of 400106893 is 398601004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391327524 + 8779369 = 19782^2 + 2963^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400106893 is a prime.

It is a super-2 number, since 2×4001068932 = 320171051652226898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400106843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200053446 + 200053447.

It is an arithmetic number, because the mean of its divisors is an integer number (200053447).

Almost surely, 2400106893 is an apocalyptic number.

It is an amenable number.

400106893 is a deficient number, since it is larger than the sum of its proper divisors (1).

400106893 is an equidigital number, since it uses as much as digits as its factorization.

400106893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 400106893 is about 20002.6721464908. The cubic root of 400106893 is about 736.8719267457.

Adding to 400106893 its reverse (398601004), we get a palindrome (798707897).

The spelling of 400106893 in words is "four hundred million, one hundred six thousand, eight hundred ninety-three".