Search a number
-
+
812340720 = 243251128251
BaseRepresentation
bin110000011010110…
…101010111110000
32002121120011222100
4300122311113300
53130424400340
6212335140400
726062532202
oct6032652760
92077504870
10812340720
113875aa674
121a8074700
13cc3b3ca9
1479c5c772
154b4b3830
hex306b55f0

812340720 has 60 divisors (see below), whose sum is σ = 2728113336. Its totient is φ = 216624000.

The previous prime is 812340719. The next prime is 812340731. The reversal of 812340720 is 27043218.

812340720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563406 + ... + 564845.

Almost surely, 2812340720 is an apocalyptic number.

812340720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812340720 is an abundant number, since it is smaller than the sum of its proper divisors (1915772616).

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

812340720 is a wasteful number, since it uses less digits than its factorization.

812340720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128270 (or 1128261 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 812340720 is about 28501.5915345091. The cubic root of 812340720 is about 933.0668093858.

Adding to 812340720 its reverse (27043218), we get a palindrome (839383938).

The spelling of 812340720 in words is "eight hundred twelve million, three hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1128251 2256502 3384753 4513004 5641255 6769506 9026008 10154259 11282510 13539012 16923765 18052016 20308518 22565020 27078024 33847530 40617036 45130040 50771295 54156048 67695060 81234072 90260080 101542590 135390120 162468144 203085180 270780240 406170360 812340720