Search a number
-
+
20997584 = 2417219239
BaseRepresentation
bin101000000011…
…0010111010000
31110111210021022
41100012113100
520333410314
62030015012
7343322306
oct120062720
943453238
1020997584
1110941883
127047468
13447250a
142b08276
151c9b78e
hex14065d0

20997584 has 60 divisors (see below), whose sum is σ = 45681600. Its totient is φ = 9321984.

The previous prime is 20997583. The next prime is 20997619. The reversal of 20997584 is 48579902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20997583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87737 + ... + 87975.

It is an arithmetic number, because the mean of its divisors is an integer number (761360).

Almost surely, 220997584 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 20997584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840800).

20997584 is an abundant number, since it is smaller than the sum of its proper divisors (24684016).

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

20997584 is a wasteful number, since it uses less digits than its factorization.

20997584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 20997584 is about 4582.3120801622. The cubic root of 20997584 is about 275.8818369771.

The spelling of 20997584 in words is "twenty million, nine hundred ninety-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 239 272 289 304 323 478 578 646 956 1156 1292 1912 2312 2584 3824 4063 4541 4624 5168 5491 8126 9082 10982 16252 18164 21964 32504 36328 43928 65008 69071 72656 77197 87856 138142 154394 276284 308788 552568 617576 1105136 1235152 1312349 2624698 5249396 10498792 20997584