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10400029 is a prime number
BaseRepresentation
bin100111101011…
…000100011101
3201120101011021
4213223010131
510130300104
61010524141
7154253533
oct47530435
921511137
1010400029
115963772
123596651
132201983
14154a153
15da6754
hex9eb11d

10400029 has 2 divisors, whose sum is σ = 10400030. Its totient is φ = 10400028.

The previous prime is 10400021. The next prime is 10400057. The reversal of 10400029 is 92000401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9548100 + 851929 = 3090^2 + 923^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400029 - 23 = 10400021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10399985 and 10400021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200014 + 5200015.

It is an arithmetic number, because the mean of its divisors is an integer number (5200015).

Almost surely, 210400029 is an apocalyptic number.

It is an amenable number.

10400029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400029 is an equidigital number, since it uses as much as digits as its factorization.

10400029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10400029 is about 3224.9075955754. The cubic root of 10400029 is about 218.2787794992.

The spelling of 10400029 in words is "ten million, four hundred thousand, twenty-nine".