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20735713 is a prime number
BaseRepresentation
bin100111100011…
…0011011100001
31110000111001101
41033012123201
520302020323
62020234401
7341151655
oct117063341
943014041
1020735713
1110783059
126b3ba01
1343b026b
142a7aa65
151c48dad
hex13c66e1

20735713 has 2 divisors, whose sum is σ = 20735714. Its totient is φ = 20735712.

The previous prime is 20735711. The next prime is 20735731. The reversal of 20735713 is 31753702.

Together with next prime (20735731) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18905104 + 1830609 = 4348^2 + 1353^2 .

It is a cyclic number.

It is not a de Polignac number, because 20735713 - 21 = 20735711 is a prime.

It is a super-3 number, since 3×207357133 (a number of 23 digits) contains 333 as substring.

Together with 20735711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20735711) 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, 10367856 + 10367857.

It is an arithmetic number, because the mean of its divisors is an integer number (10367857).

Almost surely, 220735713 is an apocalyptic number.

It is an amenable number.

20735713 is a deficient number, since it is larger than the sum of its proper divisors (1).

20735713 is an equidigital number, since it uses as much as digits as its factorization.

20735713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 20735713 is about 4553.6483175581. The cubic root of 20735713 is about 274.7301507186.

The spelling of 20735713 in words is "twenty million, seven hundred thirty-five thousand, seven hundred thirteen".