Search a number
-
+
2706112340 = 2254125712841
BaseRepresentation
bin1010000101001011…
…1111111101010100
320222121000202020222
42201102333331110
521020231043330
61124305213512
7124026401231
oct24122777524
96877022228
102706112340
111169591288
12636331298
13341846909
141b9584788
1510c8910e5
hexa14bff54

2706112340 has 48 divisors (see below), whose sum is σ = 5844548304. Its totient is φ = 1051852800.

The previous prime is 2706112303. The next prime is 2706112369. The reversal of 2706112340 is 432116072.

It can be written as a sum of positive squares in 8 ways, for example, as 3984016 + 2702128324 = 1996^2 + 51982^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204320 + ... + 217160.

It is an arithmetic number, because the mean of its divisors is an integer number (121761423).

Almost surely, 22706112340 is an apocalyptic number.

2706112340 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 2706112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922274152).

2706112340 is an abundant number, since it is smaller than the sum of its proper divisors (3138435964).

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

2706112340 is a wasteful number, since it uses less digits than its factorization.

2706112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13146 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2706112340 is about 52020.3069964029. The cubic root of 2706112340 is about 1393.5266347862.

The spelling of 2706112340 in words is "two billion, seven hundred six million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 257 410 514 820 1028 1285 2570 5140 10537 12841 21074 25682 42148 51364 52685 64205 105370 128410 210740 256820 526481 1052962 2105924 2632405 3300137 5264810 6600274 10529620 13200548 16500685 33001370 66002740 135305617 270611234 541222468 676528085 1353056170 2706112340