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20408220 = 2233575399
BaseRepresentation
bin100110111011…
…0011110011100
31102101211211000
41031312132130
520211030340
62005230300
7335316120
oct115663634
942354730
1020408220
1110579aa8
126a02390
1342c7191
1429d3580
151bd1d30
hex137679c

20408220 has 96 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 4663872.

The previous prime is 20408191. The next prime is 20408231. The reversal of 20408220 is 2280402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20408193 and 20408202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 220408220 is an apocalyptic number.

20408220 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 20408220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

20408220 is an abundant number, since it is smaller than the sum of its proper divisors (52167780).

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

20408220 is a wasteful number, since it uses less digits than its factorization.

20408220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20408220 is about 4517.5457939018. The cubic root of 20408220 is about 273.2761364886.

Adding to 20408220 its reverse (2280402), we get a palindrome (22688622).

The spelling of 20408220 in words is "twenty million, four hundred eight thousand, two hundred twenty".

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 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5399 10798 16197 21596 26995 32394 37793 48591 53990 64788 75586 80985 97182 107980 113379 145773 151172 161970 188965 194364 226758 242955 291546 323940 340137 377930 453516 485910 566895 583092 680274 728865 755860 971820 1020411 1133790 1360548 1457730 1700685 2040822 2267580 2915460 3401370 4081644 5102055 6802740 10204110 20408220