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20212080 = 2435753227
BaseRepresentation
bin100110100011…
…0100101110000
31102000212202120
41031012211300
520133241310
62001114240
7333541230
oct115064560
942025676
1020212080
11104556a9
126928980
134258b15
142981cc0
151b93b70
hex1346970

20212080 has 160 divisors (see below), whose sum is σ = 73281024. Its totient is φ = 4512768.

The previous prime is 20212079. The next prime is 20212097. The reversal of 20212080 is 8021202.

20212080 = T189 + T190 + ... + T503.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88927 + ... + 89153.

Almost surely, 220212080 is an apocalyptic number.

20212080 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 20212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640512).

20212080 is an abundant number, since it is smaller than the sum of its proper divisors (53068944).

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

20212080 is a wasteful number, since it uses less digits than its factorization.

20212080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20212080 is about 4495.7846923535. The cubic root of 20212080 is about 272.3978462874.

Adding to 20212080 its reverse (8021202), we get a palindrome (28233282).

The spelling of 20212080 in words is "twenty million, two hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 227 240 265 280 318 336 371 420 424 454 530 560 636 681 742 795 840 848 908 1060 1113 1135 1272 1362 1484 1589 1590 1680 1816 1855 2120 2226 2270 2544 2724 2968 3178 3180 3405 3632 3710 4240 4452 4540 4767 5448 5565 5936 6356 6360 6810 7420 7945 8904 9080 9534 10896 11130 12031 12712 12720 13620 14840 15890 17808 18160 19068 22260 23835 24062 25424 27240 29680 31780 36093 38136 44520 47670 48124 54480 60155 63560 72186 76272 84217 89040 95340 96248 120310 127120 144372 168434 180465 190680 192496 240620 252651 288744 336868 360930 381360 421085 481240 505302 577488 673736 721860 842170 962480 1010604 1263255 1347472 1443720 1684340 2021208 2526510 2887440 3368680 4042416 5053020 6737360 10106040 20212080