Search a number
-
+
10838557 is a prime number
BaseRepresentation
bin101001010110…
…001000011101
3202101122201001
4221112020131
510233313212
61024150301
7161061202
oct51261035
922348631
1010838557
116133194
123768391
132326462
141621ca9
15e41657
hexa5621d

10838557 has 2 divisors, whose sum is σ = 10838558. Its totient is φ = 10838556.

The previous prime is 10838549. The next prime is 10838579. The reversal of 10838557 is 75583801.

10838557 is digitally balanced in base 3, 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., 8561476 + 2277081 = 2926^2 + 1509^2 .

It is an emirp because it is prime and its reverse (75583801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10838557 - 23 = 10838549 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10838507) 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, 5419278 + 5419279.

It is an arithmetic number, because the mean of its divisors is an integer number (5419279).

Almost surely, 210838557 is an apocalyptic number.

It is an amenable number.

10838557 is a deficient number, since it is larger than the sum of its proper divisors (1).

10838557 is an equidigital number, since it uses as much as digits as its factorization.

10838557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 10838557 is about 3292.1963793188. The cubic root of 10838557 is about 221.3046241754.

The spelling of 10838557 in words is "ten million, eight hundred thirty-eight thousand, five hundred fifty-seven".