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20960820 = 22325236183
BaseRepresentation
bin100111111110…
…1011000110100
31110102220211200
41033331120310
520331221240
62025132500
7343110156
oct117753064
943386750
1020960820
11109171a1
12702a130
13445b86a
142ad8ad6
151c90930
hex13fd634

20960820 has 144 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 5195520.

The previous prime is 20960803. The next prime is 20960831. The reversal of 20960820 is 2806902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252499 + ... + 252581.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 220960820 is an apocalyptic number.

20960820 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 20960820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

20960820 is an abundant number, since it is smaller than the sum of its proper divisors (47284812).

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

20960820 is a wasteful number, since it uses less digits than its factorization.

20960820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20960820 is about 4578.2988106938. The cubic root of 20960820 is about 275.7207320134.

It can be divided in two parts, 209608 and 20, that added together give a triangular number (209628 = T647).

The spelling of 20960820 in words is "twenty million, nine hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 61 69 83 90 92 115 122 138 166 180 183 207 230 244 249 276 305 332 345 366 414 415 460 498 549 610 690 732 747 828 830 915 996 1035 1098 1220 1245 1380 1403 1494 1660 1830 1909 2070 2196 2490 2745 2806 2988 3660 3735 3818 4140 4209 4980 5063 5490 5612 5727 7015 7470 7636 8418 9545 10126 10980 11454 12627 14030 14940 15189 16836 17181 19090 20252 21045 22908 25254 25315 28060 28635 30378 34362 38180 42090 45567 50508 50630 57270 60756 63135 68724 75945 84180 85905 91134 101260 114540 116449 126270 151890 171810 182268 227835 232898 252540 303780 343620 349347 455670 465796 582245 698694 911340 1048041 1164490 1397388 1746735 2096082 2328980 3493470 4192164 5240205 6986940 10480410 20960820