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13820461 is a prime number
BaseRepresentation
bin110100101110…
…001000101101
3222000011002221
4310232020231
512014223321
61212115341
7225320614
oct64561055
928004087
1013820461
11788a576
124765b51
132b2b7b5
141b9a87b
15132ee41
hexd2e22d

13820461 has 2 divisors, whose sum is σ = 13820462. Its totient is φ = 13820460.

The previous prime is 13820459. The next prime is 13820483. The reversal of 13820461 is 16402831.

13820461 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., 10824100 + 2996361 = 3290^2 + 1731^2 .

It is an emirp because it is prime and its reverse (16402831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13820461 - 21 = 13820459 is a prime.

Together with 13820459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13820431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6910230 + 6910231.

It is an arithmetic number, because the mean of its divisors is an integer number (6910231).

Almost surely, 213820461 is an apocalyptic number.

It is an amenable number.

13820461 is a deficient number, since it is larger than the sum of its proper divisors (1).

13820461 is an equidigital number, since it uses as much as digits as its factorization.

13820461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13820461 is about 3717.5880621715. The cubic root of 13820461 is about 239.9795179280.

The spelling of 13820461 in words is "thirteen million, eight hundred twenty thousand, four hundred sixty-one".