Search a number
-
+
21589296 = 243835419
BaseRepresentation
bin101001001011…
…0110100110000
31111121211221120
41102112310300
521011324141
62050422240
7351335361
oct122266460
944554846
1021589296
11112063a3
127291980
13461b941
142c1db68
151d66c66
hex1496d30

21589296 has 40 divisors (see below), whose sum is σ = 56454720. Its totient is φ = 7108416.

The previous prime is 21589291. The next prime is 21589297. The reversal of 21589296 is 69298512.

It is not an unprimeable number, because it can be changed into a prime (21589291) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1275 + ... + 6693.

It is an arithmetic number, because the mean of its divisors is an integer number (1411368).

Almost surely, 221589296 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 21589296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28227360).

21589296 is an abundant number, since it is smaller than the sum of its proper divisors (34865424).

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

21589296 is a wasteful number, since it uses less digits than its factorization.

21589296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5507 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 21589296 is about 4646.4283056989. The cubic root of 21589296 is about 278.4493191129.

The spelling of 21589296 in words is "twenty-one million, five hundred eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 5419 10838 16257 21676 32514 43352 65028 86704 130056 260112 449777 899554 1349331 1799108 2698662 3598216 5397324 7196432 10794648 21589296