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21084032 = 271271297
BaseRepresentation
bin101000001101…
…1011110000000
31110200011212002
41100123132000
520344142112
62031523132
7344132324
oct120333600
943604762
1021084032
11109a0822
1270894a8
1344a2978
142b2b984
151cb71c2
hex141b780

21084032 has 32 divisors (see below), whose sum is σ = 42366720. Its totient is φ = 10450944.

The previous prime is 21083989. The next prime is 21084047. The reversal of 21084032 is 23048012.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 21083995 and 21084013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15608 + ... + 16904.

It is an arithmetic number, because the mean of its divisors is an integer number (1323960).

Almost surely, 221084032 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 21084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21183360).

21084032 is an abundant number, since it is smaller than the sum of its proper divisors (21282688).

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

21084032 is a wasteful number, since it uses less digits than its factorization.

21084032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 21084032 is about 4591.7351840018. The cubic root of 21084032 is about 276.2599245699.

The spelling of 21084032 in words is "twenty-one million, eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 1297 2032 2594 4064 5188 8128 10376 16256 20752 41504 83008 164719 166016 329438 658876 1317752 2635504 5271008 10542016 21084032