Search a number
-
+
2730313080 = 23325113312083
BaseRepresentation
bin1010001010111101…
…0100010101111000
321001021120021102200
42202233110111320
521042430004310
61130532030200
7124442164305
oct24257242570
97037507380
102730313080
1111812106a0
12642462360
1334686b091
141bc8840ac
1510ea719c0
hexa2bd4578

2730313080 has 192 divisors, whose sum is σ = 9714107520. Its totient is φ = 659577600.

The previous prime is 2730313051. The next prime is 2730313163. The reversal of 2730313080 is 803130372.

2730313080 is a `hidden beast` number, since 273 + 0 + 313 + 0 + 80 = 666.

2730313080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1309719 + ... + 1311801.

It is an arithmetic number, because the mean of its divisors is an integer number (50594310).

Almost surely, 22730313080 is an apocalyptic number.

2730313080 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 2730313080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857053760).

2730313080 is an abundant number, since it is smaller than the sum of its proper divisors (6983794440).

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

2730313080 is a wasteful number, since it uses less digits than its factorization.

2730313080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2730313080 is about 52252.3978397164. The cubic root of 2730313080 is about 1397.6684115980.

The spelling of 2730313080 in words is "two billion, seven hundred thirty million, three hundred thirteen thousand, eighty".