Search a number
-
+
2126360340 = 22325131753453
BaseRepresentation
bin111111010111101…
…1010111100010100
312111012010022000200
41332233122330110
513323322012330
6550555140500
7103456523166
oct17657327424
95435108020
102126360340
119a1302aa5
124b4144730
1327b6ba2b0
1416258c936
15c6a22a60
hex7ebdaf14

2126360340 has 144 divisors (see below), whose sum is σ = 7354842768. Its totient is φ = 492613632.

The previous prime is 2126360309. The next prime is 2126360347. The reversal of 2126360340 is 430636212.

2126360340 is a `hidden beast` number, since 2 + 1 + 263 + 60 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9072144 + 2117288196 = 3012^2 + 46014^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126360347) 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, 13054 + ... + 66506.

It is an arithmetic number, because the mean of its divisors is an integer number (51075297).

Almost surely, 22126360340 is an apocalyptic number.

2126360340 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 2126360340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677421384).

2126360340 is an abundant number, since it is smaller than the sum of its proper divisors (5228482428).

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

2126360340 is a wasteful number, since it uses less digits than its factorization.

2126360340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53498 (or 53493 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2126360340 is about 46112.4748847858. The cubic root of 2126360340 is about 1285.9150754136.

Adding to 2126360340 its reverse (430636212), we get a palindrome (2556996552).

The spelling of 2126360340 in words is "two billion, one hundred twenty-six million, three hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 53453 106906 160359 213812 267265 320718 481077 534530 641436 694889 801795 908701 962154 1069060 1389778 1603590 1817402 1924308 2084667 2405385 2726103 2779556 3207180 3474445 3634804 4169334 4543505 4810770 5452206 6254001 6948890 8178309 8338668 9087010 9621540 10423335 10904412 11813113 12508002 13630515 13897780 16356618 18174020 20846670 23626226 25016004 27261030 31270005 32713236 35439339 40891545 41693340 47252452 54522060 59065565 62540010 70878678 81783090 106318017 118131130 125080020 141757356 163566180 177196695 212636034 236262260 354393390 425272068 531590085 708786780 1063180170 2126360340