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68008729 is a prime number
BaseRepresentation
bin1000000110110…
…11101100011001
311201222012102211
410003123230121
5114402234404
610425355121
71454031115
oct403335431
9151865384
1068008729
1135430a68
121a938aa1
1311122369
149064745
155e85b04
hex40dbb19

68008729 has 2 divisors, whose sum is σ = 68008730. Its totient is φ = 68008728.

The previous prime is 68008693. The next prime is 68008753. The reversal of 68008729 is 92780086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58553104 + 9455625 = 7652^2 + 3075^2 .

It is a cyclic number.

It is not a de Polignac number, because 68008729 - 217 = 67877657 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 68008691 and 68008700.

It is not a weakly prime, because it can be changed into another prime (68000729) 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, 34004364 + 34004365.

It is an arithmetic number, because the mean of its divisors is an integer number (34004365).

Almost surely, 268008729 is an apocalyptic number.

It is an amenable number.

68008729 is a deficient number, since it is larger than the sum of its proper divisors (1).

68008729 is an equidigital number, since it uses as much as digits as its factorization.

68008729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 68008729 is about 8246.7405076188. The cubic root of 68008729 is about 408.1829745265.

The spelling of 68008729 in words is "sixty-eight million, eight thousand, seven hundred twenty-nine".