Search a number
-
+
14009985 = 3251123183
BaseRepresentation
bin110101011100…
…011010000001
3222100210002100
4311130122001
512041304420
61220141013
7230040303
oct65343201
928323070
1014009985
1179a9a00
124837769
132b96b42
141c09973
15136b190
hexd5c681

14009985 has 72 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 6494400.

The previous prime is 14009981. The next prime is 14009993. The reversal of 14009985 is 58990041.

It is not a de Polignac number, because 14009985 - 22 = 14009981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14009981) 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 71 ways as a sum of consecutive naturals, for example, 168754 + ... + 168836.

It is an arithmetic number, because the mean of its divisors is an integer number (387296).

Almost surely, 214009985 is an apocalyptic number.

14009985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14009985 is a deficient number, since it is larger than the sum of its proper divisors (13875327).

14009985 is a wasteful number, since it uses less digits than its factorization.

14009985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 14009985 is about 3742.9914506982. The cubic root of 14009985 is about 241.0715110641.

The spelling of 14009985 in words is "fourteen million, nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 31 33 45 55 83 93 99 121 155 165 249 279 341 363 415 465 495 605 747 913 1023 1089 1245 1395 1705 1815 2573 2739 3069 3735 3751 4565 5115 5445 7719 8217 10043 11253 12865 13695 15345 18755 23157 28303 30129 33759 38595 41085 50215 56265 84909 90387 115785 141515 150645 168795 254727 311333 424545 451935 933999 1273635 1556665 2801997 4669995 14009985