Search a number
-
+
21340242 = 23271189173
BaseRepresentation
bin101000101101…
…0000001010010
31111011012022100
41101122001102
520430341432
62041221230
7346250310
oct121320122
944135270
1021340242
1111056270
127191816
134562481
142b970b0
151d1807c
hex145a052

21340242 has 96 divisors (see below), whose sum is σ = 58631040. Its totient is φ = 5448960.

The previous prime is 21340223. The next prime is 21340243. The reversal of 21340242 is 24204312.

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

It is not an unprimeable number, because it can be changed into a prime (21340243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123268 + ... + 123440.

It is an arithmetic number, because the mean of its divisors is an integer number (610740).

Almost surely, 221340242 is an apocalyptic number.

21340242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21340242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29315520).

21340242 is an abundant number, since it is smaller than the sum of its proper divisors (37290798).

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

21340242 is a wasteful number, since it uses less digits than its factorization.

21340242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 21340242 is about 4619.5499780823. The cubic root of 21340242 is about 277.3744452710.

Adding to 21340242 its reverse (24204312), we get a palindrome (45544554).

It can be divided in two parts, 213402 and 42, that added together give a square (213444 = 4622).

The spelling of 21340242 in words is "twenty-one million, three hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 89 99 126 154 173 178 198 231 267 346 462 519 534 623 693 801 979 1038 1211 1246 1386 1557 1602 1869 1903 1958 2422 2937 3114 3633 3738 3806 5607 5709 5874 6853 7266 8811 10899 11214 11418 13321 13706 15397 17127 17622 20559 21798 26642 30794 34254 39963 41118 46191 61677 79926 92382 107779 119889 123354 138573 169367 215558 239778 277146 323337 338734 508101 646674 970011 1016202 1185569 1524303 1940022 2371138 3048606 3556707 7113414 10670121 21340242