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20820060 = 223252347107
BaseRepresentation
bin100111101101…
…1000001011100
31110011202202100
41033123001130
520312220220
62022125100
7341652612
oct117330134
943152670
1020820060
1110830468
126b80790
13440c781
142a9d6b2
151c63d90
hex13db05c

20820060 has 144 divisors (see below), whose sum is σ = 67931136. Its totient is φ = 5149056.

The previous prime is 20820047. The next prime is 20820061. The reversal of 20820060 is 6002802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20820061) 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 47 ways as a sum of consecutive naturals, for example, 194527 + ... + 194633.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 220820060 is an apocalyptic number.

20820060 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 20820060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965568).

20820060 is an abundant number, since it is smaller than the sum of its proper divisors (47111076).

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

20820060 is a wasteful number, since it uses less digits than its factorization.

20820060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20820060 is about 4562.9003933902. The cubic root of 20820060 is about 275.1021548851.

Adding to 20820060 its reverse (6002802), we get a palindrome (26822862).

The spelling of 20820060 in words is "twenty million, eight hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 47 60 69 90 92 94 107 115 138 141 180 188 207 214 230 235 276 282 321 345 414 423 428 460 470 535 564 642 690 705 828 846 940 963 1035 1070 1081 1284 1380 1410 1605 1692 1926 2070 2115 2140 2162 2461 2820 3210 3243 3852 4140 4230 4324 4815 4922 5029 5405 6420 6486 7383 8460 9630 9729 9844 10058 10810 12305 12972 14766 15087 16215 19260 19458 20116 21620 22149 24610 25145 29532 30174 32430 36915 38916 44298 45261 48645 49220 50290 60348 64860 73830 75435 88596 90522 97290 100580 110745 115667 147660 150870 181044 194580 221490 226305 231334 301740 347001 442980 452610 462668 578335 694002 905220 1041003 1156670 1388004 1735005 2082006 2313340 3470010 4164012 5205015 6940020 10410030 20820060