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10824641 is a prime number
BaseRepresentation
bin101001010010…
…101111000001
3202100221121122
4221102233001
510232342031
61024002025
7161002502
oct51225701
922327548
1010824641
116123793
123760315
132320019
14161aba9
15e3c47b
hexa52bc1

10824641 has 2 divisors, whose sum is σ = 10824642. Its totient is φ = 10824640.

The previous prime is 10824637. The next prime is 10824647. The reversal of 10824641 is 14642801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9394225 + 1430416 = 3065^2 + 1196^2 .

It is a cyclic number.

It is not a de Polignac number, because 10824641 - 22 = 10824637 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10824641.

It is not a weakly prime, because it can be changed into another prime (10824647) 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, 5412320 + 5412321.

It is an arithmetic number, because the mean of its divisors is an integer number (5412321).

Almost surely, 210824641 is an apocalyptic number.

It is an amenable number.

10824641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10824641 is an equidigital number, since it uses as much as digits as its factorization.

10824641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 10824641 is about 3290.0822178177. The cubic root of 10824641 is about 221.2098700452.

The spelling of 10824641 in words is "ten million, eight hundred twenty-four thousand, six hundred forty-one".