Search a number
-
+
2427211540 = 22513431072029
BaseRepresentation
bin1001000010101100…
…0100111100010100
320021011020010021201
42100223010330110
514432331232130
61040503322244
7114101646325
oct22053047424
96234203251
102427211540
111036108a56
12578a50384
132c8b25660
1419050444c
15e314dbca
hex90ac4f14

2427211540 has 96 divisors (see below), whose sum is σ = 5672177280. Its totient is φ = 866750976.

The previous prime is 2427211517. The next prime is 2427211543. The reversal of 2427211540 is 451127242.

It is a junction number, because it is equal to n+sod(n) for n = 2427211499 and 2427211508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427211543) 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, 1195246 + ... + 1197274.

It is an arithmetic number, because the mean of its divisors is an integer number (59085180).

Almost surely, 22427211540 is an apocalyptic number.

2427211540 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 2427211540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836088640).

2427211540 is an abundant number, since it is smaller than the sum of its proper divisors (3244965740).

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

2427211540 is a wasteful number, since it uses less digits than its factorization.

2427211540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2427211540 is about 49266.7386783416. The cubic root of 2427211540 is about 1343.9069794901.

Adding to 2427211540 its reverse (451127242), we get a palindrome (2878338782).

The spelling of 2427211540 in words is "two billion, four hundred twenty-seven million, two hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 107 130 172 214 215 260 428 430 535 559 860 1070 1118 1391 2029 2140 2236 2782 2795 4058 4601 5564 5590 6955 8116 9202 10145 11180 13910 18404 20290 23005 26377 27820 40580 46010 52754 59813 87247 92020 105508 119626 131885 174494 217103 239252 263770 299065 348988 434206 436235 527540 598130 868412 872470 1085515 1134211 1196260 1744940 2171030 2268422 2822339 4342060 4536844 5644678 5671055 9335429 11289356 11342110 14111695 18670858 22684220 28223390 37341716 46677145 56446780 93354290 121360577 186708580 242721154 485442308 606802885 1213605770 2427211540