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20108484 = 2232111729103
BaseRepresentation
bin100110010110…
…1010011000100
31101211121122200
41030231103010
520121432414
61554554500
7332630214
oct114552304
941747580
1020108484
1110394890
126898a30
134220916
142956244
151b73109
hex132d4c4

20108484 has 144 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 5483520.

The previous prime is 20108483. The next prime is 20108489. The reversal of 20108484 is 48480102.

It is a super-2 number, since 2×201084842 = 808702257556512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20108483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 195177 + ... + 195279.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 220108484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20108484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

20108484 is an abundant number, since it is smaller than the sum of its proper divisors (41218236).

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

20108484 is a wasteful number, since it uses less digits than its factorization.

20108484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20108484 is about 4484.2484320118. The cubic root of 20108484 is about 271.9316617535.

Adding to 20108484 its reverse (48480102), we get a palindrome (68588586).

The spelling of 20108484 in words is "twenty million, one hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 103 116 132 153 174 187 198 204 206 261 306 309 319 348 374 396 412 493 522 561 612 618 638 748 927 957 986 1044 1122 1133 1236 1276 1479 1683 1751 1854 1914 1972 2244 2266 2871 2958 2987 3366 3399 3502 3708 3828 4437 4532 5253 5423 5742 5916 5974 6732 6798 7004 8874 8961 10197 10506 10846 11484 11948 13596 15759 16269 17748 17922 19261 20394 21012 21692 26883 31518 32538 32857 35844 38522 40788 48807 50779 53766 57783 63036 65076 65714 77044 97614 98571 101558 107532 115566 131428 152337 173349 195228 197142 203116 231132 295713 304674 346698 394284 457011 558569 591426 609348 693396 914022 1117138 1182852 1675707 1828044 2234276 3351414 5027121 6702828 10054242 20108484