Search a number
-
+
20982384 = 2432197669
BaseRepresentation
bin101000000001…
…0101001110000
31110111000102100
41100002221300
520332414014
62025420400
7343230063
oct120025160
943430370
1020982384
1110931415
12703a700
134468617
142b028da
151c97009
hex1402a70

20982384 has 60 divisors (see below), whose sum is σ = 61820200. Its totient is φ = 6625152.

The previous prime is 20982359. The next prime is 20982389. The reversal of 20982384 is 48328902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20982389) 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, 1099 + ... + 6570.

Almost surely, 220982384 is an apocalyptic number.

20982384 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 20982384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30910100).

20982384 is an abundant number, since it is smaller than the sum of its proper divisors (40837816).

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

20982384 is a wasteful number, since it uses less digits than its factorization.

20982384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20982384 is about 4580.6532285254. The cubic root of 20982384 is about 275.8152512818.

The spelling of 20982384 in words is "twenty million, nine hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 7669 15338 23007 30676 46014 61352 69021 92028 122704 138042 145711 184056 276084 291422 368112 437133 552168 582844 874266 1104336 1165688 1311399 1748532 2331376 2622798 3497064 5245596 6994128 10491192 20982384