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21084300 = 22345219137
BaseRepresentation
bin101000001101…
…1100010001100
31110200012020000
41100123202030
520344144200
62031524300
7344133156
oct120334214
943605200
1021084300
11109a0a46
127089690
1344a2b23
142b2bad6
151cb7300
hex141b88c

21084300 has 180 divisors, whose sum is σ = 72469320. Its totient is φ = 5287680.

The previous prime is 21084289. The next prime is 21084311. The reversal of 21084300 is 348012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21084289) and next prime (21084311).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153832 + ... + 153968.

Almost surely, 221084300 is an apocalyptic number.

21084300 is a gapful number since it is divisible by the number (20) 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 21084300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36234660).

21084300 is an abundant number, since it is smaller than the sum of its proper divisors (51385020).

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

21084300 is a wasteful number, since it uses less digits than its factorization.

21084300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21084300 is about 4591.7643667767. The cubic root of 21084300 is about 276.2610950820.

The spelling of 21084300 in words is "twenty-one million, eighty-four thousand, three hundred".