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20806740 = 2233553727
BaseRepresentation
bin100111101011…
…1110001010100
31110011002111000
41033113301110
520311303430
62021543300
7341566023
oct117276124
943132430
1020806740
1110821459
126b74b30
1344066a6
142a988ba
151c5ee60
hex13d7c54

20806740 has 96 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5436288.

The previous prime is 20806733. The next prime is 20806741. The reversal of 20806740 is 4760802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20806741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28257 + ... + 28983.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 220806740 is an apocalyptic number.

20806740 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 20806740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20806740 is an abundant number, since it is smaller than the sum of its proper divisors (45237420).

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

20806740 is a wasteful number, since it uses less digits than its factorization.

20806740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20806740 is about 4561.4405619278. The cubic root of 20806740 is about 275.0434752202.

The spelling of 20806740 in words is "twenty million, eight hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 727 795 954 1060 1431 1454 1590 1908 2181 2385 2862 2908 3180 3635 4362 4770 5724 6543 7155 7270 8724 9540 10905 13086 14310 14540 19629 21810 26172 28620 32715 38531 39258 43620 65430 77062 78516 98145 115593 130860 154124 192655 196290 231186 346779 385310 392580 462372 577965 693558 770620 1040337 1155930 1387116 1733895 2080674 2311860 3467790 4161348 5201685 6935580 10403370 20806740