Search a number
-
+
2966907780 = 2232516482821
BaseRepresentation
bin1011000011010111…
…0110101110000100
321122202202112100100
42300311312232010
522034012022110
61210223044100
7133344204624
oct26065665604
97582675310
102966907780
111292818801
126a9740630
13383898c45
14202070884
15125708bc0
hexb0d76b84

2966907780 has 36 divisors (see below), whose sum is σ = 8999620812. Its totient is φ = 791175360.

The previous prime is 2966907767. The next prime is 2966907787. The reversal of 2966907780 is 877096692.

2966907780 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 322274304 + 2644633476 = 17952^2 + 51426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2966907787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8241231 + ... + 8241590.

It is an arithmetic number, because the mean of its divisors is an integer number (249989467).

Almost surely, 22966907780 is an apocalyptic number.

2966907780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2966907780 is an abundant number, since it is smaller than the sum of its proper divisors (6032713032).

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

2966907780 is a wasteful number, since it uses less digits than its factorization.

2966907780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16482836 (or 16482831 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 2966907780 is about 54469.3288007113. The cubic root of 2966907780 is about 1436.9269244848.

The spelling of 2966907780 in words is "two billion, nine hundred sixty-six million, nine hundred seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16482821 32965642 49448463 65931284 82414105 98896926 148345389 164828210 197793852 247242315 296690778 329656420 494484630 593381556 741726945 988969260 1483453890 2966907780