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13820393 is a prime number
BaseRepresentation
bin110100101110…
…000111101001
3222000011000102
4310232013221
512014223033
61212115145
7225320456
oct64560751
928004012
1013820393
11788a514
124765ab5
132b2b762
141b9a82d
15132ede8
hexd2e1e9

13820393 has 2 divisors, whose sum is σ = 13820394. Its totient is φ = 13820392.

The previous prime is 13820383. The next prime is 13820399. The reversal of 13820393 is 39302831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10445824 + 3374569 = 3232^2 + 1837^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13820393 is a prime.

It is not a weakly prime, because it can be changed into another prime (13820399) 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, 6910196 + 6910197.

It is an arithmetic number, because the mean of its divisors is an integer number (6910197).

Almost surely, 213820393 is an apocalyptic number.

It is an amenable number.

13820393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13820393 is an equidigital number, since it uses as much as digits as its factorization.

13820393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 13820393 is about 3717.5789164455. The cubic root of 13820393 is about 239.9791243417.

The spelling of 13820393 in words is "thirteen million, eight hundred twenty thousand, three hundred ninety-three".