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20990340 = 223557617
BaseRepresentation
bin101000000010…
…0100110000100
31110111102100000
41100010212010
520333142330
62025521300
7343262220
oct120044604
943442300
1020990340
1110937398
127043230
13446c127
142b05780
151c99560
hex1404984

20990340 has 144 divisors (see below), whose sum is σ = 75583872. Its totient is φ = 4790016.

The previous prime is 20990311. The next prime is 20990353. The reversal of 20990340 is 4309902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33712 + ... + 34328.

It is an arithmetic number, because the mean of its divisors is an integer number (524888).

Almost surely, 220990340 is an apocalyptic number.

20990340 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 20990340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37791936).

20990340 is an abundant number, since it is smaller than the sum of its proper divisors (54593532).

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

20990340 is a wasteful number, since it uses less digits than its factorization.

20990340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20990340 is about 4581.5215813090. The cubic root of 20990340 is about 275.8501076459.

The spelling of 20990340 in words is "twenty million, nine hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 617 630 756 810 945 972 1134 1215 1234 1260 1620 1701 1851 1890 2268 2430 2468 2835 3085 3402 3702 3780 4319 4860 5553 5670 6170 6804 7404 8505 8638 9255 11106 11340 12340 12957 16659 17010 17276 18510 21595 22212 25914 27765 33318 34020 37020 38871 43190 49977 51828 55530 64785 66636 77742 83295 86380 99954 111060 116613 129570 149931 155484 166590 194355 199908 233226 249885 259140 299862 333180 349839 388710 466452 499770 583065 599724 699678 749655 777420 999540 1049517 1166130 1399356 1499310 1749195 2099034 2332260 2998620 3498390 4198068 5247585 6996780 10495170 20990340