Search a number
-
+
14111216 = 247241439
BaseRepresentation
bin110101110101…
…000111110000
3222112220221122
4311311013300
512103024331
61222241412
7230641400
oct65650760
928486848
1014111216
117a68a69
124886268
132c00c42
141c34800
15138b17b
hexd751f0

14111216 has 60 divisors (see below), whose sum is σ = 32654160. Its totient is φ = 5886720.

The previous prime is 14111203. The next prime is 14111219. The reversal of 14111216 is 61211141.

It is a junction number, because it is equal to n+sod(n) for n = 14111194 and 14111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111219) 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 in 11 ways as a sum of consecutive naturals, for example, 31925 + ... + 32363.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 214111216 is an apocalyptic number.

14111216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327080).

14111216 is an abundant number, since it is smaller than the sum of its proper divisors (18542944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14111216 is a wasteful number, since it uses less digits than its factorization.

14111216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 489 counting only the distinct ones).

The product of its digits is 48, while the sum is 17.

The square root of 14111216 is about 3756.4898509114. The cubic root of 14111216 is about 241.6507495396.

Adding to 14111216 its reverse (61211141), we get a palindrome (75322357).

The spelling of 14111216 in words is "fourteen million, one hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 439 574 656 784 878 1148 1756 2009 2296 3073 3512 4018 4592 6146 7024 8036 12292 16072 17999 21511 24584 32144 35998 43022 49168 71996 86044 125993 143992 172088 251986 287984 344176 503972 881951 1007944 1763902 2015888 3527804 7055608 14111216