Search a number
-
+
20331984 = 243613691
BaseRepresentation
bin100110110001…
…1110111010000
31102020222020110
41031203313100
520201110414
62003441320
7334550631
oct115436720
942228213
1020331984
11105277a2
126986240
13429b57a
1429b3888
151bb9459
hex1363dd0

20331984 has 40 divisors (see below), whose sum is σ = 52686112. Its totient is φ = 6756480.

The previous prime is 20331967. The next prime is 20331989. The reversal of 20331984 is 48913302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29079 + ... + 29769.

Almost surely, 220331984 is an apocalyptic number.

20331984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20331984 is an abundant number, since it is smaller than the sum of its proper divisors (32354128).

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

20331984 is a wasteful number, since it uses less digits than its factorization.

20331984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

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

The square root of 20331984 is about 4509.1001319554. The cubic root of 20331984 is about 272.9354326768.

The spelling of 20331984 in words is "twenty million, three hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 613 691 1226 1382 1839 2073 2452 2764 3678 4146 4904 5528 7356 8292 9808 11056 14712 16584 29424 33168 423583 847166 1270749 1694332 2541498 3388664 5082996 6777328 10165992 20331984