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20427030 = 23251321779
BaseRepresentation
bin100110111101…
…1000100010110
31102102210121200
41031323010112
520212131110
62005453330
7335425011
oct115730426
942383550
1020427030
1110592148
126a11246
134302900
1429da378
151bd76c0
hex137b116

20427030 has 144 divisors (see below), whose sum is σ = 61663680. Its totient is φ = 4672512.

The previous prime is 20427007. The next prime is 20427031. The reversal of 20427030 is 3072402.

It is a happy number.

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 = 20426994 and 20427012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20427031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258531 + ... + 258609.

It is an arithmetic number, because the mean of its divisors is an integer number (428220).

Almost surely, 220427030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20427030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831840).

20427030 is an abundant number, since it is smaller than the sum of its proper divisors (41236650).

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

20427030 is a wasteful number, since it uses less digits than its factorization.

20427030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20427030 is about 4519.6271970153. The cubic root of 20427030 is about 273.3600691014.

Adding to 20427030 its reverse (3072402), we get a palindrome (23499432).

The spelling of 20427030 in words is "twenty million, four hundred twenty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 79 85 90 102 117 130 153 158 169 170 195 221 234 237 255 306 338 390 395 442 474 507 510 585 663 711 765 790 845 1014 1027 1105 1170 1185 1326 1343 1422 1521 1530 1690 1989 2054 2210 2370 2535 2686 2873 3042 3081 3315 3555 3978 4029 5070 5135 5746 6162 6630 6715 7110 7605 8058 8619 9243 9945 10270 12087 13351 13430 14365 15210 15405 17238 17459 18486 19890 20145 24174 25857 26702 28730 30810 34918 40053 40290 43095 46215 51714 52377 60435 66755 80106 86190 87295 92430 104754 120159 120870 129285 133510 157131 174590 200265 226967 240318 258570 261885 314262 400530 453934 523770 600795 680901 785655 1134835 1201590 1361802 1571310 2042703 2269670 3404505 4085406 6809010 10213515 20427030