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21468096 = 2632134761
BaseRepresentation
bin101000111100…
…1001111000000
31111101200200200
41101321033000
520443434341
62044045200
7350322126
oct121711700
944350620
1021468096
1111133331
127233800
1345a8720
142bcb916
151d40db6
hex14793c0

21468096 has 168 divisors, whose sum is σ = 68787264. Its totient is φ = 6359040.

The previous prime is 21468067. The next prime is 21468101. The reversal of 21468096 is 69086412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21468096.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 351906 + ... + 351966.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

It is a vampire number, since it can be written as 24968601 (with its own digits).

Almost surely, 221468096 is an apocalyptic number.

21468096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34393632).

21468096 is an abundant number, since it is smaller than the sum of its proper divisors (47319168).

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

21468096 is a wasteful number, since it uses less digits than its factorization.

21468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 21468096 is about 4633.3676737337. The cubic root of 21468096 is about 277.9272794281.

The spelling of 21468096 in words is "twenty-one million, four hundred sixty-eight thousand, ninety-six".