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21414144 = 28327883
BaseRepresentation
bin101000110110…
…0000100000000
31111021221200110
41101230010000
520440223034
62042551320
7350005623
oct121540400
944257613
1021414144
11110a6844
127208540
134589cbb
142bb5dba
151d2ede9
hex146c100

21414144 has 36 divisors (see below), whose sum is σ = 56994896. Its totient is φ = 7137792.

The previous prime is 21414119. The next prime is 21414193. The reversal of 21414144 is 44141412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21414144.

It is an unprimeable number.

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, 13174 + ... + 14709.

Almost surely, 221414144 is an apocalyptic number.

21414144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21414144 is an abundant number, since it is smaller than the sum of its proper divisors (35580752).

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

21414144 is an equidigital number, since it uses as much as digits as its factorization.

21414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27902 (or 27888 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 21414144 is about 4627.5418960826. The cubic root of 21414144 is about 277.6942621582.

Adding to 21414144 its reverse (44141412), we get a palindrome (65555556).

It can be divided in two parts, 214141 and 44, that added together give a triangular number (214185 = T654).

The spelling of 21414144 in words is "twenty-one million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 27883 55766 83649 111532 167298 223064 334596 446128 669192 892256 1338384 1784512 2676768 3569024 5353536 7138048 10707072 21414144