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20664180 = 22335172251
BaseRepresentation
bin100111011010…
…0111101110100
31102212211221000
41032310331310
520242223210
62014523300
7340433265
oct116647564
942784830
1020664180
1110734339
126b06530
134386834
142a5c96c
151c32ac0
hex13b4f74

20664180 has 96 divisors (see below), whose sum is σ = 68100480. Its totient is φ = 5184000.

The previous prime is 20664139. The next prime is 20664239. The reversal of 20664180 is 8146602.

20664180 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8055 + ... + 10305.

It is an arithmetic number, because the mean of its divisors is an integer number (709380).

Almost surely, 220664180 is an apocalyptic number.

20664180 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 20664180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34050240).

20664180 is an abundant number, since it is smaller than the sum of its proper divisors (47436300).

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

20664180 is a wasteful number, since it uses less digits than its factorization.

20664180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20664180 is about 4545.7870605650. The cubic root of 20664180 is about 274.4138700784.

The spelling of 20664180 in words is "twenty million, six hundred sixty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2251 2295 3060 4502 4590 6753 9004 9180 11255 13506 20259 22510 27012 33765 38267 40518 45020 60777 67530 76534 81036 101295 114801 121554 135060 153068 191335 202590 229602 243108 303885 344403 382670 405180 459204 574005 607770 688806 765340 1033209 1148010 1215540 1377612 1722015 2066418 2296020 3444030 4132836 5166045 6888060 10332090 20664180