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21676864 = 261141751
BaseRepresentation
bin101001010110…
…0001101000000
31111210022001211
41102230031000
521022124424
62052335504
7352151566
oct122541500
944708054
1021676864
1111266170
127314594
13464c761
142c43a36
151d82b94
hex14ac340

21676864 has 56 divisors (see below), whose sum is σ = 48134016. Its totient is φ = 9600000.

The previous prime is 21676847. The next prime is 21676877. The reversal of 21676864 is 46867612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28489 + ... + 29239.

It is an arithmetic number, because the mean of its divisors is an integer number (859536).

Almost surely, 221676864 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 21676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067008).

21676864 is an abundant number, since it is smaller than the sum of its proper divisors (26457152).

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

21676864 is a wasteful number, since it uses less digits than its factorization.

21676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 21676864 is about 4655.8419217151. The cubic root of 21676864 is about 278.8252825414.

The spelling of 21676864 in words is "twenty-one million, six hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 751 902 1312 1502 1804 2624 3004 3608 6008 7216 8261 12016 14432 16522 24032 28864 30791 33044 48064 61582 66088 123164 132176 246328 264352 338701 492656 528704 677402 985312 1354804 1970624 2709608 5419216 10838432 21676864