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21214080 = 2732529127
BaseRepresentation
bin101000011101…
…1001110000000
31110220210020200
41100323032000
520412322310
62034405200
7345213426
oct120731600
943823220
1021214080
1110a7a4a8
127130800
134519c14
142b63116
151ce09c0
hex143b380

21214080 has 192 divisors, whose sum is σ = 76377600. Its totient is φ = 5419008.

The previous prime is 21214049. The next prime is 21214087. The reversal of 21214080 is 8041212.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166977 + ... + 167103.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 221214080 is an apocalyptic number.

21214080 is a gapful number since it is divisible by the number (20) 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 21214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38188800).

21214080 is an abundant number, since it is smaller than the sum of its proper divisors (55163520).

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

21214080 is a wasteful number, since it uses less digits than its factorization.

21214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21214080 is about 4605.8745097972. The cubic root of 21214080 is about 276.8267585256.

Adding to 21214080 its reverse (8041212), we get a palindrome (29255292).

The spelling of 21214080 in words is "twenty-one million, two hundred fourteen thousand, eighty".