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20218660 = 22571119691
BaseRepresentation
bin100110100100…
…0001100100100
31102001012210021
41031020030210
520133444120
62001204524
7333566350
oct115101444
942035707
1020218660
111045a640
126930744
13425bb07
142984460
151b95aaa
hex1348324

20218660 has 96 divisors (see below), whose sum is σ = 55802880. Its totient is φ = 5961600.

The previous prime is 20218637. The next prime is 20218669. The reversal of 20218660 is 6681202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20218669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28915 + ... + 29605.

It is an arithmetic number, because the mean of its divisors is an integer number (581280).

Almost surely, 220218660 is an apocalyptic number.

20218660 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 20218660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27901440).

20218660 is an abundant number, since it is smaller than the sum of its proper divisors (35584220).

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

20218660 is a wasteful number, since it uses less digits than its factorization.

20218660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 20218660 is about 4496.5164294151. The cubic root of 20218660 is about 272.4274025950.

Adding to 20218660 its reverse (6681202), we get a palindrome (26899862).

The spelling of 20218660 in words is "twenty million, two hundred eighteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 691 770 836 1045 1330 1382 1463 1540 2090 2660 2764 2926 3455 4180 4837 5852 6910 7315 7601 9674 13129 13820 14630 15202 19348 24185 26258 29260 30404 38005 48370 52516 53207 65645 76010 91903 96740 106414 131290 144419 152020 183806 212828 262580 266035 288838 367612 459515 532070 577676 722095 919030 1010933 1064140 1444190 1838060 2021866 2888380 4043732 5054665 10109330 20218660