Search a number
-
+
21444280 = 235111323163
BaseRepresentation
bin101000111001…
…1011010111000
31111100111000121
41101303122320
520442204110
62043343024
7350162524
oct121633270
944314017
1021444280
1111117450
127221a74
13459a930
142bc2d84
151d38cda
hex14736b8

21444280 has 128 divisors (see below), whose sum is σ = 59512320. Its totient is φ = 6842880.

The previous prime is 21444263. The next prime is 21444287. The reversal of 21444280 is 8244412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131479 + ... + 131641.

It is an arithmetic number, because the mean of its divisors is an integer number (464940).

Almost surely, 221444280 is an apocalyptic number.

21444280 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 21444280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756160).

21444280 is an abundant number, since it is smaller than the sum of its proper divisors (38068040).

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

21444280 is a wasteful number, since it uses less digits than its factorization.

21444280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 21444280 is about 4630.7969076607. The cubic root of 21444280 is about 277.8244669372.

Adding to 21444280 its reverse (8244412), we get a palindrome (29688692).

The spelling of 21444280 in words is "twenty-one million, four hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 163 184 220 230 253 260 286 299 326 440 460 506 520 572 598 652 715 815 920 1012 1144 1196 1265 1304 1430 1495 1630 1793 2024 2119 2392 2530 2860 2990 3260 3289 3586 3749 4238 5060 5720 5980 6520 6578 7172 7498 8476 8965 10120 10595 11960 13156 14344 14996 16445 16952 17930 18745 21190 23309 26312 29992 32890 35860 37490 41239 42380 46618 48737 65780 71720 74980 82478 84760 93236 97474 116545 131560 149960 164956 186472 194948 206195 233090 243685 329912 389896 412390 466180 487370 536107 824780 932360 974740 1072214 1649560 1949480 2144428 2680535 4288856 5361070 10722140 21444280