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10061729 is a prime number
BaseRepresentation
bin100110011000…
…011110100001
3200221012002122
4212120132201
510033433404
6555354025
7151344326
oct46303641
920835078
1010061729
115752587
123452915
1321139b2
14149cb4d
15d3b3be
hex9987a1

10061729 has 2 divisors, whose sum is σ = 10061730. Its totient is φ = 10061728.

The previous prime is 10061719. The next prime is 10061731. The reversal of 10061729 is 92716001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6553600 + 3508129 = 2560^2 + 1873^2 .

It is a cyclic number.

It is not a de Polignac number, because 10061729 - 28 = 10061473 is a prime.

Together with 10061731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10061698 and 10061707.

It is not a weakly prime, because it can be changed into another prime (10061719) 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, 5030864 + 5030865.

It is an arithmetic number, because the mean of its divisors is an integer number (5030865).

Almost surely, 210061729 is an apocalyptic number.

It is an amenable number.

10061729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061729 is an equidigital number, since it uses as much as digits as its factorization.

10061729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 10061729 is about 3172.0228561598. The cubic root of 10061729 is about 215.8858636254.

The spelling of 10061729 in words is "ten million, sixty-one thousand, seven hundred twenty-nine".