Search a number
-
+
20984820 = 2235536599
BaseRepresentation
bin101000000001…
…1001111110100
31110111010202120
41100003033310
520333003240
62025435540
7343240143
oct120031764
943433676
1020984820
111093322a
12703bbb0
13446976c
142b0375a
151c97ad0
hex14033f4

20984820 has 48 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 5489536.

The previous prime is 20984819. The next prime is 20984827. The reversal of 20984820 is 2848902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20984827) 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 15 ways as a sum of consecutive naturals, for example, 120 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 220984820 is an apocalyptic number.

20984820 is a gapful number since it is divisible by the number (20) 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 20984820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

20984820 is an abundant number, since it is smaller than the sum of its proper divisors (38890380).

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

20984820 is a wasteful number, since it uses less digits than its factorization.

20984820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 20984820 is about 4580.9191217484. The cubic root of 20984820 is about 275.8259246790.

The spelling of 20984820 in words is "twenty million, nine hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 6599 13198 19797 26396 32995 39594 65990 79188 98985 131980 197970 349747 395940 699494 1049241 1398988 1748735 2098482 3497470 4196964 5246205 6994940 10492410 20984820