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21468006 = 2327672543
BaseRepresentation
bin101000111100…
…1001101100110
31111101200120100
41101321031212
520443434011
62044044530
7350321640
oct121711546
944350510
1021468006
111113325a
127233746
1345a8681
142bcb890
151d40d56
hex1479366

21468006 has 48 divisors (see below), whose sum is σ = 53973504. Its totient is φ = 6039792.

The previous prime is 21467989. The next prime is 21468011. The reversal of 21468006 is 60086412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7171 + ... + 9713.

It is an arithmetic number, because the mean of its divisors is an integer number (1124448).

Almost surely, 221468006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21468006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26986752).

21468006 is an abundant number, since it is smaller than the sum of its proper divisors (32505498).

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

21468006 is a wasteful number, since it uses less digits than its factorization.

21468006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21468006 is about 4633.3579615652. The cubic root of 21468006 is about 277.9268910457.

The spelling of 21468006 in words is "twenty-one million, four hundred sixty-eight thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2543 2814 4221 5086 7629 8442 15258 17801 22887 35602 45774 53403 106806 160209 170381 320418 340762 511143 1022286 1192667 1533429 2385334 3066858 3578001 7156002 10734003 21468006