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13820713 is a prime number
BaseRepresentation
bin110100101110…
…001100101001
3222000011110021
4310232030221
512014230323
61212120441
7225321424
oct64561451
928004407
1013820713
11788a785
124766121
132b2b94a
141b9a9bb
15133005d
hexd2e329

13820713 has 2 divisors, whose sum is σ = 13820714. Its totient is φ = 13820712.

The previous prime is 13820687. The next prime is 13820743. The reversal of 13820713 is 31702831.

13820713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13816089 + 4624 = 3717^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 13820713 - 213 = 13812521 is a prime.

It is not a weakly prime, because it can be changed into another prime (13820743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6910356 + 6910357.

It is an arithmetic number, because the mean of its divisors is an integer number (6910357).

Almost surely, 213820713 is an apocalyptic number.

It is an amenable number.

13820713 is a deficient number, since it is larger than the sum of its proper divisors (1).

13820713 is an equidigital number, since it uses as much as digits as its factorization.

13820713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13820713 is about 3717.6219549599. The cubic root of 13820713 is about 239.9809765014.

The spelling of 13820713 in words is "thirteen million, eight hundred twenty thousand, seven hundred thirteen".