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21666984 = 2337383149
BaseRepresentation
bin101001010100…
…1110010101000
31111202210111220
41102221302220
521021320414
62052222040
7352111023
oct122516250
944683456
1021666984
11112597a9
12730a920
134648101
142c401ba
151d7eca9
hex14a9ca8

21666984 has 64 divisors (see below), whose sum is σ = 55944000. Its totient is φ = 6990336.

The previous prime is 21666979. The next prime is 21666991. The reversal of 21666984 is 48966612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145342 + ... + 145490.

It is an arithmetic number, because the mean of its divisors is an integer number (874125).

Almost surely, 221666984 is an apocalyptic number.

21666984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21666984 is an abundant number, since it is smaller than the sum of its proper divisors (34277016).

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

21666984 is a wasteful number, since it uses less digits than its factorization.

21666984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 21666984 is about 4654.7807681995. The cubic root of 21666984 is about 278.7829145982.

The spelling of 21666984 in words is "twenty-one million, six hundred sixty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 73 83 146 149 166 219 249 292 298 332 438 447 498 584 596 664 876 894 996 1192 1752 1788 1992 3576 6059 10877 12118 12367 18177 21754 24236 24734 32631 36354 37101 43508 48472 49468 65262 72708 74202 87016 98936 130524 145416 148404 261048 296808 902791 1805582 2708373 3611164 5416746 7222328 10833492 21666984