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19824641 is a prime number
BaseRepresentation
bin100101110100…
…0000000000001
31101022012021222
41023220000001
520033342031
61544524425
7330335534
oct113500001
941265258
1019824641
1110210601
126780715
134151675
1428c0a1b
151b18e7b
hex12e8001

19824641 has 2 divisors, whose sum is σ = 19824642. Its totient is φ = 19824640.

The previous prime is 19824631. The next prime is 19824653. The reversal of 19824641 is 14642891.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14984641 + 4840000 = 3871^2 + 2200^2 .

It is an emirp because it is prime and its reverse (14642891) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19824641 - 222 = 15630337 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (19824611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9912320 + 9912321.

It is an arithmetic number, because the mean of its divisors is an integer number (9912321).

It is a Proth number, since it is equal to 605 ⋅ 215 + 1 and 605 < 215.

Almost surely, 219824641 is an apocalyptic number.

It is an amenable number.

19824641 is a deficient number, since it is larger than the sum of its proper divisors (1).

19824641 is an equidigital number, since it uses as much as digits as its factorization.

19824641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 35.

The square root of 19824641 is about 4452.4870578139. The cubic root of 19824641 is about 270.6461024103.

The spelling of 19824641 in words is "nineteen million, eight hundred twenty-four thousand, six hundred forty-one".