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812743020 = 2232525117989
BaseRepresentation
bin110000011100010…
…111100101101100
32002122022121211100
4300130113211230
53131030234040
6212351523100
726066126115
oct6034274554
92078277740
10812743020
11387854951
121a8229490
13cc4c513b
1479d2520c
154b542b30
hex3071796c

812743020 has 72 divisors (see below), whose sum is σ = 2475280080. Its totient is φ = 215856000.

The previous prime is 812743013. The next prime is 812743037. The reversal of 812743020 is 20347218.

812743020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36186 + ... + 54174.

It is an arithmetic number, because the mean of its divisors is an integer number (34378890).

Almost surely, 2812743020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812743020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237640040).

812743020 is an abundant number, since it is smaller than the sum of its proper divisors (1662537060).

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

812743020 is a wasteful number, since it uses less digits than its factorization.

812743020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18255 (or 18250 counting only the distinct ones).

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

The square root of 812743020 is about 28508.6481615667. The cubic root of 812743020 is about 933.2208132495.

The spelling of 812743020 in words is "eight hundred twelve million, seven hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 7530 9036 11295 15060 17989 22590 35978 45180 53967 71956 89945 107934 161901 179890 215868 269835 323802 359780 539670 647604 809505 1079340 1619010 3238020 4515239 9030478 13545717 18060956 22576195 27091434 40637151 45152390 54182868 67728585 81274302 90304780 135457170 162548604 203185755 270914340 406371510 812743020