Search a number
-
+
2706290505 = 325533892917
BaseRepresentation
bin1010000101001110…
…1011011101001001
320222121100210122200
42201103223131021
521020302244010
61124313110413
7124031042532
oct24123533511
96877323580
102706290505
1111696a3126
126363b8409
133418a9a39
141b95cd689
1510c8c8cc0
hexa14eb749

2706290505 has 48 divisors (see below), whose sum is σ = 4793340240. Its totient is φ = 1411997184.

The previous prime is 2706290497. The next prime is 2706290539. The reversal of 2706290505 is 5050926072.

2706290505 is a `hidden beast` number, since 2 + 7 + 0 + 62 + 90 + 505 = 666.

2706290505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 204690249 + 2501600256 = 14307^2 + 50016^2 .

It is not a de Polignac number, because 2706290505 - 23 = 2706290497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2706290505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926307 + ... + 929223.

It is an arithmetic number, because the mean of its divisors is an integer number (99861255).

Almost surely, 22706290505 is an apocalyptic number.

It is an amenable number.

2706290505 is a deficient number, since it is larger than the sum of its proper divisors (2087049735).

2706290505 is a wasteful number, since it uses less digits than its factorization.

2706290505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2706290505 is about 52022.0194244706. The cubic root of 2706290505 is about 1393.5572164464.

The spelling of 2706290505 in words is "two billion, seven hundred six million, two hundred ninety thousand, five hundred five".

Divisors: 1 3 5 9 15 45 53 159 265 389 477 795 1167 1945 2385 2917 3501 5835 8751 14585 17505 20617 26253 43755 61851 103085 131265 154601 185553 309255 463803 773005 927765 1134713 1391409 2319015 3404139 5673565 6957045 10212417 17020695 51062085 60139789 180419367 300698945 541258101 902096835 2706290505