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10729993 is a prime number
BaseRepresentation
bin101000111011…
…101000001001
3202012010210011
4220323220021
510221324433
61021551521
7160126531
oct50735011
922163704
1010729993
11606966a
1237155a1
1322b8c11
1415d44c1
15e1e3cd
hexa3ba09

10729993 has 2 divisors, whose sum is σ = 10729994. Its totient is φ = 10729992.

The previous prime is 10729969. The next prime is 10730021. The reversal of 10729993 is 39992701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7997584 + 2732409 = 2828^2 + 1653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10729993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10729933) 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, 5364996 + 5364997.

It is an arithmetic number, because the mean of its divisors is an integer number (5364997).

Almost surely, 210729993 is an apocalyptic number.

It is an amenable number.

10729993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10729993 is an equidigital number, since it uses as much as digits as its factorization.

10729993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 10729993 is about 3275.6668023473. Note that the first 3 decimals coincide. The cubic root of 10729993 is about 220.5632468203.

The spelling of 10729993 in words is "ten million, seven hundred twenty-nine thousand, nine hundred ninety-three".