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2400161 is a prime number
BaseRepresentation
bin1001001001111110100001
311111221101212
421021332201
51103301121
6123235505
726254361
oct11117641
94457355
102400161
11139a305
12978b95
1366061a
144669a1
1532625b
hex249fa1

2400161 has 2 divisors, whose sum is σ = 2400162. Its totient is φ = 2400160.

The previous prime is 2400157. The next prime is 2400163. The reversal of 2400161 is 1610042.

2400161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2371600 + 28561 = 1540^2 + 169^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400161 - 22 = 2400157 is a prime.

Together with 2400163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2400163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200080 + 1200081.

It is an arithmetic number, because the mean of its divisors is an integer number (1200081).

22400161 is an apocalyptic number.

It is an amenable number.

2400161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400161 is an equidigital number, since it uses as much as digits as its factorization.

2400161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2400161 is about 1549.2453001381. The cubic root of 2400161 is about 133.8895838024.

The spelling of 2400161 in words is "two million, four hundred thousand, one hundred sixty-one".