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14218128 = 243298737
BaseRepresentation
bin110110001111…
…001110010000
3222202100121100
4312033032100
512114440003
61224424400
7231565161
oct66171620
928670540
1014218128
118031321
124918100
132c3a7c2
141c61768
1513acba3
hexd8f390

14218128 has 30 divisors (see below), whose sum is σ = 39791414. Its totient is φ = 4739328.

The previous prime is 14218123. The next prime is 14218129. The reversal of 14218128 is 82181241.

14218128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8225424 + 5992704 = 2868^2 + 2448^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14218121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49225 + ... + 49512.

Almost surely, 214218128 is an apocalyptic number.

14218128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14218128 is an abundant number, since it is smaller than the sum of its proper divisors (25573286).

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

14218128 is a wasteful number, since it uses less digits than its factorization.

14218128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98751 (or 98742 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 14218128 is about 3770.6933049507. The cubic root of 14218128 is about 242.2594944312.

Adding to 14218128 its reverse (82181241), we get a palindrome (96399369).

The spelling of 14218128 in words is "fourteen million, two hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 98737 197474 296211 394948 592422 789896 888633 1184844 1579792 1777266 2369688 3554532 4739376 7109064 14218128