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12906589 is a prime number
BaseRepresentation
bin110001001111…
…000001011101
3220021201111211
4301033001131
511301002324
61140344421
7214463353
oct61170135
926251454
1012906589
117315a03
1243a5111
13289b847
1419dd7d3
1511ee294
hexc4f05d

12906589 has 2 divisors, whose sum is σ = 12906590. Its totient is φ = 12906588.

The previous prime is 12906577. The next prime is 12906667. The reversal of 12906589 is 98560921.

12906589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6943225 + 5963364 = 2635^2 + 2442^2 .

It is an emirp because it is prime and its reverse (98560921) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12906589 is a prime.

It is a super-2 number, since 2×129065892 = 333160079229842, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12906559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6453294 + 6453295.

It is an arithmetic number, because the mean of its divisors is an integer number (6453295).

Almost surely, 212906589 is an apocalyptic number.

It is an amenable number.

12906589 is a deficient number, since it is larger than the sum of its proper divisors (1).

12906589 is an equidigital number, since it uses as much as digits as its factorization.

12906589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 12906589 is about 3592.5741467644. The cubic root of 12906589 is about 234.5689336246.

The spelling of 12906589 in words is "twelve million, nine hundred six thousand, five hundred eighty-nine".