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13824169 is a prime number
BaseRepresentation
bin110100101111…
…000010101001
3222000100012021
4310233002221
512014333134
61212144441
7225334462
oct64570251
928010167
1013824169
117892337
124768121
132b303a8
141b9bd69
1513310b4
hexd2f0a9

13824169 has 2 divisors, whose sum is σ = 13824170. Its totient is φ = 13824168.

The previous prime is 13824121. The next prime is 13824211. The reversal of 13824169 is 96142831.

13824169 is digitally balanced in base 2, 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., 12355225 + 1468944 = 3515^2 + 1212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13824169 is a prime.

It is a super-2 number, since 2×138241692 = 382215297081122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13824119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912084 + 6912085.

It is an arithmetic number, because the mean of its divisors is an integer number (6912085).

Almost surely, 213824169 is an apocalyptic number.

It is an amenable number.

13824169 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824169 is an equidigital number, since it uses as much as digits as its factorization.

13824169 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 34.

The square root of 13824169 is about 3718.0867391711. The cubic root of 13824169 is about 240.0009780053. Note that the first 3 decimals are identical.

The spelling of 13824169 in words is "thirteen million, eight hundred twenty-four thousand, one hundred sixty-nine".