Search a number
-
+
10526821 is a prime number
BaseRepresentation
bin101000001010…
…000001100101
3201210211002021
4220022001211
510143324241
61013343141
7155322304
oct50120145
921724067
1010526821
115a3aa58
123637ab1
1322475b6
14158043b
15dce0d1
hexa0a065

10526821 has 2 divisors, whose sum is σ = 10526822. Its totient is φ = 10526820.

The previous prime is 10526809. The next prime is 10526827. The reversal of 10526821 is 12862501.

10526821 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7918596 + 2608225 = 2814^2 + 1615^2 .

It is a cyclic number.

It is not a de Polignac number, because 10526821 - 221 = 8429669 is a prime.

It is a super-2 number, since 2×105268212 = 221627920732082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10526827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5263410 + 5263411.

It is an arithmetic number, because the mean of its divisors is an integer number (5263411).

Almost surely, 210526821 is an apocalyptic number.

It is an amenable number.

10526821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10526821 is an equidigital number, since it uses as much as digits as its factorization.

10526821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10526821 is about 3244.5062798521. The cubic root of 10526821 is about 219.1622478029.

The spelling of 10526821 in words is "ten million, five hundred twenty-six thousand, eight hundred twenty-one".