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13984131 = 373121481
BaseRepresentation
bin110101010110…
…000110000011
3222022110121210
4311112012003
512034443011
61215421203
7226602030
oct65260603
928273553
1013984131
117991537
124824803
132b88145
141c00387
1513636a6
hexd56183

13984131 has 16 divisors (see below), whose sum is σ = 21997568. Its totient is φ = 7732800.

The previous prime is 13984123. The next prime is 13984153. The reversal of 13984131 is 13148931.

13984131 = T245 + T246 + ... + T461.

It is not a de Polignac number, because 13984131 - 23 = 13984123 is a prime.

It is a super-2 number, since 2×139841312 = 391111839650322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13984111) 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 15 ways as a sum of consecutive naturals, for example, 10090 + ... + 11391.

It is an arithmetic number, because the mean of its divisors is an integer number (1374848).

Almost surely, 213984131 is an apocalyptic number.

13984131 is a deficient number, since it is larger than the sum of its proper divisors (8013437).

13984131 is a wasteful number, since it uses less digits than its factorization.

13984131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21522.

The product of its digits is 2592, while the sum is 30.

The square root of 13984131 is about 3739.5362011886. The cubic root of 13984131 is about 240.9231287806.

The spelling of 13984131 in words is "thirteen million, nine hundred eighty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 651 21481 64443 150367 451101 665911 1997733 4661377 13984131