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13924289 is a prime number
BaseRepresentation
bin110101000111…
…011111000001
3222012102112102
4311013133001
512031034124
61214240145
7226232411
oct65073701
928172472
1013924289
117950585
1247b6055
132b66b32
141bc6641
151350aae
hexd477c1

13924289 has 2 divisors, whose sum is σ = 13924290. Its totient is φ = 13924288.

The previous prime is 13924279. The next prime is 13924327. The reversal of 13924289 is 98242931.

It is an a-pointer prime, because the next prime (13924327) can be obtained adding 13924289 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7075600 + 6848689 = 2660^2 + 2617^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13924289 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13924219) 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, 6962144 + 6962145.

It is an arithmetic number, because the mean of its divisors is an integer number (6962145).

Almost surely, 213924289 is an apocalyptic number.

It is an amenable number.

13924289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13924289 is an equidigital number, since it uses as much as digits as its factorization.

13924289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 38.

The square root of 13924289 is about 3731.5263632996. The cubic root of 13924289 is about 240.5789783014.

It can be divided in two parts, 13924 and 289, that multiplied together give a square (4024036 = 20062).

The spelling of 13924289 in words is "thirteen million, nine hundred twenty-four thousand, two hundred eighty-nine".