Search a number
-
+
2506716260 = 2251078911617
BaseRepresentation
bin1001010101101001…
…0111010001100100
320110200211101020222
42111122113101210
520113204410020
61052423343512
7116055510446
oct22532272144
96420741228
102506716260
111076a81034
1259b5b1b98
1330c441479
1419acbc496
15ea105b25
hex95697464

2506716260 has 24 divisors (see below), whose sum is σ = 5265045240. Its totient is φ = 1002507264.

The previous prime is 2506716217. The next prime is 2506716269. The reversal of 2506716260 is 626176052.

It can be written as a sum of positive squares in 4 ways, for example, as 118243876 + 2388472384 = 10874^2 + 48872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2506716260.

It is not an unprimeable number, because it can be changed into a prime (2506716269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209972 + ... + 221588.

It is an arithmetic number, because the mean of its divisors is an integer number (219376885).

Almost surely, 22506716260 is an apocalyptic number.

2506716260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506716260 is an abundant number, since it is smaller than the sum of its proper divisors (2758328980).

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

2506716260 is a wasteful number, since it uses less digits than its factorization.

2506716260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22415 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2506716260 is about 50067.1175523417. The cubic root of 2506716260 is about 1358.4231038399.

The spelling of 2506716260 in words is "two billion, five hundred six million, seven hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 10789 11617 21578 23234 43156 46468 53945 58085 107890 116170 215780 232340 125335813 250671626 501343252 626679065 1253358130 2506716260