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13985041 = 722691061
BaseRepresentation
bin110101010110…
…010100010001
3222022111212111
4311112110101
512040010131
61215425321
7226604500
oct65262421
928274774
1013985041
117992194
124825241
132b88695
141c00837
151363ab1
hexd56511

13985041 has 12 divisors (see below), whose sum is σ = 16344180. Its totient is φ = 11931360.

The previous prime is 13985039. The next prime is 13985051. The reversal of 13985041 is 14058931.

It can be written as a sum of positive squares in 2 ways, for example, as 4498641 + 9486400 = 2121^2 + 3080^2 .

It is not a de Polignac number, because 13985041 - 21 = 13985039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13984994 and 13985012.

It is not an unprimeable number, because it can be changed into a prime (13985021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12651 + ... + 13711.

It is an arithmetic number, because the mean of its divisors is an integer number (1362015).

Almost surely, 213985041 is an apocalyptic number.

It is an amenable number.

13985041 is a deficient number, since it is larger than the sum of its proper divisors (2359139).

13985041 is a wasteful number, since it uses less digits than its factorization.

13985041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 13985041 is about 3739.6578720519. The cubic root of 13985041 is about 240.9283545919.

The spelling of 13985041 in words is "thirteen million, nine hundred eighty-five thousand, forty-one".

Divisors: 1 7 49 269 1061 1883 7427 13181 51989 285409 1997863 13985041