Search a number
-
+
2162634260 = 2251743532791
BaseRepresentation
bin1000000011100111…
…0010111000010100
312120201101012111012
42000321302320110
513412113244020
6554332431352
7104410042103
oct20071627024
95521335435
102162634260
11a0a829146
12504318558
1328607ab57
1416731203a
15c9cda7c5
hex80e72e14

2162634260 has 96 divisors (see below), whose sum is σ = 5015146752. Its totient is φ = 779950080.

The previous prime is 2162634259. The next prime is 2162634269. The reversal of 2162634260 is 624362612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162634269) 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, 773465 + ... + 776255.

It is an arithmetic number, because the mean of its divisors is an integer number (52241112).

Almost surely, 22162634260 is an apocalyptic number.

2162634260 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 2162634260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507573376).

2162634260 is an abundant number, since it is smaller than the sum of its proper divisors (2852512492).

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

2162634260 is a wasteful number, since it uses less digits than its factorization.

2162634260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2162634260 is about 46504.1316444034. The cubic root of 2162634260 is about 1293.1860950876.

Adding to 2162634260 its reverse (624362612), we get a palindrome (2786996872).

The spelling of 2162634260 in words is "two billion, one hundred sixty-two million, six hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 43 53 68 85 86 106 170 172 212 215 265 340 430 530 731 860 901 1060 1462 1802 2279 2791 2924 3604 3655 4505 4558 5582 7310 9010 9116 11164 11395 13955 14620 18020 22790 27910 38743 45580 47447 55820 77486 94894 120013 147923 154972 189788 193715 237235 240026 295846 387430 474470 480052 591692 600065 739615 774860 948940 1200130 1479230 2040221 2400260 2514691 2958460 4080442 5029382 6360689 8160884 10058764 10201105 12573455 12721378 20402210 25146910 25442756 31803445 40804420 50293820 63606890 108131713 127213780 216263426 432526852 540658565 1081317130 2162634260