Search a number
-
+
2143551540 = 22351310326681
BaseRepresentation
bin111111111000100…
…0000000000110100
312112101110200220210
41333301000000310
513342222122130
6552411425420
7104055613254
oct17761000064
95471420823
102143551540
119aaa84aa9
124b9a55270
132821290c0
14164985964
15c82bb5b0
hex7fc40034

2143551540 has 96 divisors (see below), whose sum is σ = 6526630656. Its totient is φ = 522501120.

The previous prime is 2143551511. The next prime is 2143551547. The reversal of 2143551540 is 451553412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2143551498 and 2143551507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143551547) 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, 67000 + ... + 93680.

It is an arithmetic number, because the mean of its divisors is an integer number (67985736).

Almost surely, 22143551540 is an apocalyptic number.

2143551540 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 2143551540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263315328).

2143551540 is an abundant number, since it is smaller than the sum of its proper divisors (4383079116).

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

2143551540 is a wasteful number, since it uses less digits than its factorization.

2143551540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26809 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2143551540 is about 46298.5047274747. The cubic root of 2143551540 is about 1289.3712337511.

The spelling of 2143551540 in words is "two billion, one hundred forty-three million, five hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 618 780 1030 1236 1339 1545 2060 2678 3090 4017 5356 6180 6695 8034 13390 16068 20085 26681 26780 40170 53362 80043 80340 106724 133405 160086 266810 320172 346853 400215 533620 693706 800430 1040559 1387412 1600860 1734265 2081118 2748143 3468530 4162236 5202795 5496286 6937060 8244429 10405590 10992572 13740715 16488858 20811180 27481430 32977716 35725859 41222145 54962860 71451718 82444290 107177577 142903436 164888580 178629295 214355154 357258590 428710308 535887885 714517180 1071775770 2143551540