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13730729 is a prime number
BaseRepresentation
bin110100011000…
…001110101001
3221211121000112
4310120032221
512003340404
61210144105
7224465165
oct64301651
927747015
1013730729
117829111
124722035
132ac99bc
141b75ca5
15131356e
hexd183a9

13730729 has 2 divisors, whose sum is σ = 13730730. Its totient is φ = 13730728.

The previous prime is 13730719. The next prime is 13730767. The reversal of 13730729 is 92703731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8690704 + 5040025 = 2948^2 + 2245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13730729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13730695 and 13730704.

It is not a weakly prime, because it can be changed into another prime (13730719) 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, 6865364 + 6865365.

It is an arithmetic number, because the mean of its divisors is an integer number (6865365).

Almost surely, 213730729 is an apocalyptic number.

It is an amenable number.

13730729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13730729 is an equidigital number, since it uses as much as digits as its factorization.

13730729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 13730729 is about 3705.4998313318. The cubic root of 13730729 is about 239.4590187652.

The spelling of 13730729 in words is "thirteen million, seven hundred thirty thousand, seven hundred twenty-nine".