Search a number
-
+
14283136 = 27719839
BaseRepresentation
bin110110011111…
…000110000000
3222212122210001
4312133012000
512124030021
61230045344
7232255540
oct66370600
928778701
1014283136
11807614a
124949854
132c6127a
141c7b320
1513c2091
hexd9f180

14283136 has 64 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 5792256.

The previous prime is 14283119. The next prime is 14283149. The reversal of 14283136 is 63138241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16605 + ... + 17443.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 214283136 is an apocalyptic number.

14283136 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 14283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

14283136 is an abundant number, since it is smaller than the sum of its proper divisors (19988864).

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

14283136 is an equidigital number, since it uses as much as digits as its factorization.

14283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 14283136 is about 3779.3036395611. The cubic root of 14283136 is about 242.6281520541.

The spelling of 14283136 in words is "fourteen million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 839 896 1064 1216 1678 2128 2432 3356 4256 5873 6712 8512 11746 13424 15941 17024 23492 26848 31882 46984 53696 63764 93968 107392 111587 127528 187936 223174 255056 375872 446348 510112 751744 892696 1020224 1785392 2040448 3570784 7141568 14283136