Search a number
-
+
21003180 = 2235113263
BaseRepresentation
bin101000000011…
…1101110101100
31110112001221120
41100013232230
520334100210
62030100540
7343344522
oct120075654
943461846
1021003180
1110946000
12704a750
134474c23
142b0a312
151c9d270
hex1407bac

21003180 has 96 divisors (see below), whose sum is σ = 64931328. Its totient is φ = 5072320.

The previous prime is 21003179. The next prime is 21003223. The reversal of 21003180 is 8130012.

It is a happy number.

It is a super-3 number, since 3×210031803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 79729 + ... + 79991.

It is an arithmetic number, because the mean of its divisors is an integer number (676368).

Almost surely, 221003180 is an apocalyptic number.

21003180 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 21003180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32465664).

21003180 is an abundant number, since it is smaller than the sum of its proper divisors (43928148).

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

21003180 is a wasteful number, since it uses less digits than its factorization.

21003180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 21003180 is about 4582.9226482672. The cubic root of 21003180 is about 275.9063429335.

Adding to 21003180 its reverse (8130012), we get a palindrome (29133192).

The spelling of 21003180 in words is "twenty-one million, three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 263 330 363 484 526 605 660 726 789 1052 1210 1315 1331 1452 1578 1815 2420 2630 2662 2893 3156 3630 3945 3993 5260 5324 5786 6655 7260 7890 7986 8679 11572 13310 14465 15780 15972 17358 19965 26620 28930 31823 34716 39930 43395 57860 63646 79860 86790 95469 127292 159115 173580 190938 318230 350053 381876 477345 636460 700106 954690 1050159 1400212 1750265 1909380 2100318 3500530 4200636 5250795 7001060 10501590 21003180