Search a number
-
+
2760666144 = 25328756939
BaseRepresentation
bin1010010010001100…
…0110110000100000
321010101200101000020
42210203012300200
521123212304034
61133534353440
7125261163225
oct24443066040
97111611006
102760666144
111197362375
1265065b880
1334cc37982
141c290594c
1511256a249
hexa48c6c20

2760666144 has 24 divisors (see below), whose sum is σ = 7246748880. Its totient is φ = 920222016.

The previous prime is 2760666137. The next prime is 2760666151. The reversal of 2760666144 is 4416660672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2760666137) and next prime (2760666151).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 2760666096 and 2760666105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14378374 + ... + 14378565.

It is an arithmetic number, because the mean of its divisors is an integer number (301947870).

Almost surely, 22760666144 is an apocalyptic number.

2760666144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2760666144 is an abundant number, since it is smaller than the sum of its proper divisors (4486082736).

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

2760666144 is a wasteful number, since it uses less digits than its factorization.

2760666144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28756952 (or 28756944 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2760666144 is about 52542.0416809244. The cubic root of 2760666144 is about 1402.8286591588.

The spelling of 2760666144 in words is "two billion, seven hundred sixty million, six hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 28756939 57513878 86270817 115027756 172541634 230055512 345083268 460111024 690166536 920222048 1380333072 2760666144