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21002184 = 2332725953
BaseRepresentation
bin101000000011…
…1011111001000
31110112000120200
41100013133020
520334032214
62030052200
7343341600
oct120073710
943460520
1021002184
1110945285
12704a060
134474638
142b09c00
151c9cd09
hex14077c8

21002184 has 72 divisors (see below), whose sum is σ = 66178710. Its totient is φ = 5999616.

The previous prime is 21002129. The next prime is 21002203. The reversal of 21002184 is 48120012.

It can be written as a sum of positive squares in only one way, i.e., 20958084 + 44100 = 4578^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 552 + ... + 6504.

Almost surely, 221002184 is an apocalyptic number.

21002184 is a gapful number since it is divisible by the number (24) 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 21002184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33089355).

21002184 is an abundant number, since it is smaller than the sum of its proper divisors (45176526).

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

21002184 is a wasteful number, since it uses less digits than its factorization.

21002184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21002184 is about 4582.8139826967. The cubic root of 21002184 is about 275.9019815770.

Adding to 21002184 its reverse (48120012), we get a palindrome (69122196).

The spelling of 21002184 in words is "twenty-one million, two thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 5953 11906 17859 23812 35718 41671 47624 53577 71436 83342 107154 125013 142872 166684 214308 250026 291697 333368 375039 428616 500052 583394 750078 875091 1000104 1166788 1500156 1750182 2333576 2625273 3000312 3500364 5250546 7000728 10501092 21002184