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13824059 is a prime number
BaseRepresentation
bin110100101111…
…000000111011
3222000100001012
4310233000323
512014332214
61212144135
7225334244
oct64570073
928010035
1013824059
117892247
12476804b
132b30322
141b9bccb
15133103e
hexd2f03b

13824059 has 2 divisors, whose sum is σ = 13824060. Its totient is φ = 13824058.

The previous prime is 13824049. The next prime is 13824089. The reversal of 13824059 is 95042831.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13824059 is a prime.

It is a super-2 number, since 2×138240592 = 382209214470962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13824049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912029 + 6912030.

It is an arithmetic number, because the mean of its divisors is an integer number (6912030).

Almost surely, 213824059 is an apocalyptic number.

13824059 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824059 is an equidigital number, since it uses as much as digits as its factorization.

13824059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 13824059 is about 3718.0719465874. The cubic root of 13824059 is about 240.0003414347. Note that the first 3 decimals are identical.

The spelling of 13824059 in words is "thirteen million, eight hundred twenty-four thousand, fifty-nine".