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21668416 = 267114397
BaseRepresentation
bin101001010101…
…0001001000000
31111202212110221
41102222021000
521021342131
62052232424
7352115140
oct122521100
944685427
1021668416
111125a890
12730b714
134648963
142c40920
151d80411
hex14aa240

21668416 has 56 divisors (see below), whose sum is σ = 53620416. Its totient is φ = 8440320.

The previous prime is 21668401. The next prime is 21668429. The reversal of 21668416 is 61486612.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 2730 + ... + 7126.

Almost surely, 221668416 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 21668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810208).

21668416 is an abundant number, since it is smaller than the sum of its proper divisors (31952000).

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

21668416 is a wasteful number, since it uses less digits than its factorization.

21668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4417 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 21668416 is about 4654.9345860066. The cubic root of 21668416 is about 278.7890561750.

The spelling of 21668416 in words is "twenty-one million, six hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4397 4928 8794 17588 30779 35176 48367 61558 70352 96734 123116 140704 193468 246232 281408 338569 386936 492464 677138 773872 984928 1354276 1547744 1969856 2708552 3095488 5417104 10834208 21668416