Search a number
-
+
21303424 = 271491117
BaseRepresentation
bin101000101000…
…1000010000000
31111002022210201
41101101002000
520423202144
62040334544
7346035052
oct121210200
944068721
1021303424
111103063a
127174454
13454b79c
142b878d2
151d0c1d4
hex1451080

21303424 has 32 divisors (see below), whose sum is σ = 42763500. Its totient is φ = 10570752.

The previous prime is 21303421. The next prime is 21303467. The reversal of 21303424 is 42430312.

It can be written as a sum of positive squares in 2 ways, for example, as 16321600 + 4981824 = 4040^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (21303421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18514 + ... + 19630.

Almost surely, 221303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21381750).

21303424 is an abundant number, since it is smaller than the sum of its proper divisors (21460076).

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

21303424 is a wasteful number, since it uses less digits than its factorization.

21303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 21303424 is about 4615.5632375692. The cubic root of 21303424 is about 277.2148367866.

Adding to 21303424 its reverse (42430312), we get a palindrome (63733736).

The spelling of 21303424 in words is "twenty-one million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1117 1192 2234 2384 4468 4768 8936 9536 17872 19072 35744 71488 142976 166433 332866 665732 1331464 2662928 5325856 10651712 21303424