[go: up one dir, main page]

Search a number
-
+
21033984 = 210341167
BaseRepresentation
bin101000000111…
…1010000000000
31110120122012110
41100033100000
520341041414
62030455320
7343533366
oct120172000
943518173
1021033984
1110967164
127064540
134485c5a
142b17636
151ca7459
hex140f400

21033984 has 88 divisors (see below), whose sum is σ = 57774528. Its totient is φ = 6799360.

The previous prime is 21033979. The next prime is 21033989. The reversal of 21033984 is 48933012.

It is an interprime number because it is at equal distance from previous prime (21033979) and next prime (21033989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21033989) 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, 125869 + ... + 126035.

Almost surely, 221033984 is an apocalyptic number.

21033984 is a gapful number since it is divisible by the number (24) 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 21033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28887264).

21033984 is an abundant number, since it is smaller than the sum of its proper divisors (36740544).

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

21033984 is a wasteful number, since it uses less digits than its factorization.

21033984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 21033984 is about 4586.2821544253. The cubic root of 21033984 is about 276.0411616829.

Adding to 21033984 its reverse (48933012), we get a palindrome (69966996).

The spelling of 21033984 in words is "twenty-one million, thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 167 192 246 256 328 334 384 492 501 512 656 668 768 984 1002 1024 1312 1336 1536 1968 2004 2624 2672 3072 3936 4008 5248 5344 6847 7872 8016 10496 10688 13694 15744 16032 20541 20992 21376 27388 31488 32064 41082 41984 42752 54776 62976 64128 82164 85504 109552 125952 128256 164328 171008 219104 256512 328656 438208 513024 657312 876416 1314624 1752832 2629248 3505664 5258496 7011328 10516992 21033984