Search a number
-
+
21618240 = 263573217
BaseRepresentation
bin101001001110…
…1111001000000
31111200022122120
41102131321000
521013240430
62051204240
7351515640
oct122357100
944608576
1021618240
1111226116
1272a6680
13462bb77
142c2a520
151d70610
hex149de40

21618240 has 112 divisors (see below), whose sum is σ = 78467712. Its totient is φ = 4939776.

The previous prime is 21618227. The next prime is 21618241. The reversal of 21618240 is 4281612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21618240.

It is not an unprimeable number, because it can be changed into a prime (21618241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5112 + ... + 8328.

Almost surely, 221618240 is an apocalyptic number.

21618240 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 21618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39233856).

21618240 is an abundant number, since it is smaller than the sum of its proper divisors (56849472).

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

21618240 is a wasteful number, since it uses less digits than its factorization.

21618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 21618240 is about 4649.5419129200. The cubic root of 21618240 is about 278.5736992395.

Adding to 21618240 its reverse (4281612), we get a palindrome (25899852).

It can be divided in two parts, 2161 and 8240, that added together give a palindrome (10401).

The spelling of 21618240 in words is "twenty-one million, six hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3217 3360 6434 6720 9651 12868 16085 19302 22519 25736 32170 38604 45038 48255 51472 64340 67557 77208 90076 96510 102944 112595 128680 135114 154416 180152 193020 205888 225190 257360 270228 308832 337785 360304 386040 450380 514720 540456 617664 675570 720608 772080 900760 1029440 1080912 1351140 1441216 1544160 1801520 2161824 2702280 3088320 3603040 4323648 5404560 7206080 10809120 21618240