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20019580 = 2257151947
BaseRepresentation
bin100110001011…
…1100101111100
31101200002200221
41030113211330
520111111310
61553031124
7332110060
oct114274574
941602627
1020019580
1110334009
1268554a4
1341bc309
142931aa0
151b56ada
hex131797c

20019580 has 48 divisors (see below), whose sum is σ = 48416256. Its totient is φ = 6811200.

The previous prime is 20019577. The next prime is 20019581. The reversal of 20019580 is 8591002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20019581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20667 + ... + 21613.

It is an arithmetic number, because the mean of its divisors is an integer number (1008672).

Almost surely, 220019580 is an apocalyptic number.

20019580 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 20019580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24208128).

20019580 is an abundant number, since it is smaller than the sum of its proper divisors (28396676).

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

20019580 is a wasteful number, since it uses less digits than its factorization.

20019580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 20019580 is about 4474.3245300269. The cubic root of 20019580 is about 271.5303132633.

The spelling of 20019580 in words is "twenty million, nineteen thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 947 1057 1510 1894 2114 3020 3788 4228 4735 5285 6629 9470 10570 13258 18940 21140 26516 33145 66290 132580 142997 285994 571988 714985 1000979 1429970 2001958 2859940 4003916 5004895 10009790 20019580