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68000729 is a prime number
BaseRepresentation
bin1000000110110…
…01101111011001
311201221210110112
410003121233121
5114402010404
610425254105
71453665566
oct403315731
9151853415
1068000729
1135425a55
121a934335
131111b824
14906186d
155e8356e
hex40d9bd9

68000729 has 2 divisors, whose sum is σ = 68000730. Its totient is φ = 68000728.

The previous prime is 68000707. The next prime is 68000761. The reversal of 68000729 is 92700086.

It is an a-pointer prime, because the next prime (68000761) can be obtained adding 68000729 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62047129 + 5953600 = 7877^2 + 2440^2 .

It is a cyclic number.

It is not a de Polignac number, because 68000729 - 220 = 66952153 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 68000695 and 68000704.

It is not a weakly prime, because it can be changed into another prime (68000789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34000364 + 34000365.

It is an arithmetic number, because the mean of its divisors is an integer number (34000365).

Almost surely, 268000729 is an apocalyptic number.

It is an amenable number.

68000729 is a deficient number, since it is larger than the sum of its proper divisors (1).

68000729 is an equidigital number, since it uses as much as digits as its factorization.

68000729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 68000729 is about 8246.2554532345. The cubic root of 68000729 is about 408.1669687780.

The spelling of 68000729 in words is "sixty-eight million, seven hundred twenty-nine", and thus it is an aban number.