Search a number
-
+
14983424 = 28107547
BaseRepresentation
bin111001001010…
…000100000000
31001012020101122
4321022010000
512313432144
61253051412
7241233311
oct71120400
931166348
1014983424
1185042a5
125026b68
133147c41
141dc0608
1514ae7ee
hexe4a100

14983424 has 36 divisors (see below), whose sum is σ = 30243024. Its totient is φ = 7408128.

The previous prime is 14983421. The next prime is 14983429. The reversal of 14983424 is 42438941.

It is not an unprimeable number, because it can be changed into a prime (14983421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27119 + ... + 27665.

It is an arithmetic number, because the mean of its divisors is an integer number (840084).

Almost surely, 214983424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121512).

14983424 is an abundant number, since it is smaller than the sum of its proper divisors (15259600).

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

14983424 is an equidigital number, since it uses as much as digits as its factorization.

14983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 14983424 is about 3870.8428022848. The cubic root of 14983424 is about 246.5303296576.

The spelling of 14983424 in words is "fourteen million, nine hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 547 856 1094 1712 2188 3424 4376 6848 8752 13696 17504 27392 35008 58529 70016 117058 140032 234116 468232 936464 1872928 3745856 7491712 14983424