Search a number
-
+
21332008 = 23171011553
BaseRepresentation
bin101000101100…
…0000000101000
31111010210000101
41101120000220
520430111013
62041115144
7346214305
oct121300050
944123011
1021332008
1111050065
127188ab4
13455b7b9
142b940ac
151d158dd
hex1458028

21332008 has 32 divisors (see below), whose sum is σ = 42797160. Its totient is φ = 9932800.

The previous prime is 21331993. The next prime is 21332009. The reversal of 21332008 is 80023312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20629764 + 702244 = 4542^2 + 838^2 .

It is not an unprimeable number, because it can be changed into a prime (21332009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12960 + ... + 14512.

Almost surely, 221332008 is an apocalyptic number.

It is an amenable number.

21332008 is an abundant number, since it is smaller than the sum of its proper divisors (21465152).

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

21332008 is a wasteful number, since it uses less digits than its factorization.

21332008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 21332008 is about 4618.6586797468. The cubic root of 21332008 is about 277.3387662788.

The spelling of 21332008 in words is "twenty-one million, three hundred thirty-two thousand, eight".

Divisors: 1 2 4 8 17 34 68 101 136 202 404 808 1553 1717 3106 3434 6212 6868 12424 13736 26401 52802 105604 156853 211208 313706 627412 1254824 2666501 5333002 10666004 21332008