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21808128 = 210331229
BaseRepresentation
bin101001100110…
…0010000000000
31112000222010110
41103030100000
521040330003
62055231320
7353236356
oct123142000
945028113
1021808128
1111345851
127378540
134697424
142c797d6
151daba03
hex14cc400

21808128 has 88 divisors (see below), whose sum is σ = 60263680. Its totient is φ = 7004160.

The previous prime is 21808123. The next prime is 21808139. The reversal of 21808128 is 82180812.

It is a junction number, because it is equal to n+sod(n) for n = 21808095 and 21808104.

It is not an unprimeable number, because it can be changed into a prime (21808121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 95118 + ... + 95346.

Almost surely, 221808128 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 21808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30131840).

21808128 is an abundant number, since it is smaller than the sum of its proper divisors (38455552).

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

21808128 is a wasteful number, since it uses less digits than its factorization.

21808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 21808128 is about 4669.9173440223. The cubic root of 21808128 is about 279.3869580836.

The spelling of 21808128 in words is "twenty-one million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 229 248 256 372 384 458 496 512 687 744 768 916 992 1024 1374 1488 1536 1832 1984 2748 2976 3072 3664 3968 5496 5952 7099 7328 7936 10992 11904 14198 14656 15872 21297 21984 23808 28396 29312 31744 42594 43968 47616 56792 58624 85188 87936 95232 113584 117248 170376 175872 227168 234496 340752 351744 454336 681504 703488 908672 1363008 1817344 2726016 3634688 5452032 7269376 10904064 21808128