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21330080 = 255294597
BaseRepresentation
bin101000101011…
…1100010100000
31111010200100222
41101113202200
520430030310
62041102212
7346205552
oct121274240
944120328
1021330080
1111049672
127187968
13455a965
142b934d2
151d15055
hex14578a0

21330080 has 48 divisors (see below), whose sum is σ = 52141320. Its totient is φ = 8236032.

The previous prime is 21330073. The next prime is 21330083. The reversal of 21330080 is 8003312.

It can be written as a sum of positive squares in 4 ways, for example, as 12306064 + 9024016 = 3508^2 + 3004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2342 + ... + 6938.

Almost surely, 221330080 is an apocalyptic number.

21330080 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 21330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26070660).

21330080 is an abundant number, since it is smaller than the sum of its proper divisors (30811240).

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

21330080 is a wasteful number, since it uses less digits than its factorization.

21330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 21330080 is about 4618.4499564248. The cubic root of 21330080 is about 277.3304106776.

Adding to 21330080 its reverse (8003312), we get a palindrome (29333392).

The spelling of 21330080 in words is "twenty-one million, three hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4597 4640 9194 18388 22985 36776 45970 73552 91940 133313 147104 183880 266626 367760 533252 666565 735520 1066504 1333130 2133008 2666260 4266016 5332520 10665040 21330080