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10627789 is a prime number
BaseRepresentation
bin101000100010…
…101011001101
3201222221120211
4220202223031
510210042124
61015442421
7156222544
oct50425315
921887524
1010627789
115aa98a7
123686411
132281543
1415a915b
15dede94
hexa22acd

10627789 has 2 divisors, whose sum is σ = 10627790. Its totient is φ = 10627788.

The previous prime is 10627787. The next prime is 10627811. The reversal of 10627789 is 98772601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10614564 + 13225 = 3258^2 + 115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10627789 - 21 = 10627787 is a prime.

It is a super-3 number, since 3×106277893 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10627787, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10627787) 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, 5313894 + 5313895.

It is an arithmetic number, because the mean of its divisors is an integer number (5313895).

Almost surely, 210627789 is an apocalyptic number.

It is an amenable number.

10627789 is a deficient number, since it is larger than the sum of its proper divisors (1).

10627789 is an equidigital number, since it uses as much as digits as its factorization.

10627789 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 10627789 is about 3260.0289876012. The cubic root of 10627789 is about 219.8607176238.

The spelling of 10627789 in words is "ten million, six hundred twenty-seven thousand, seven hundred eighty-nine".