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812065890 = 235192167449
BaseRepresentation
bin110000011001110…
…010010001100010
32002121001012222110
4300121302101202
53130342102030
6212325220150
726060306016
oct6031622142
92077035873
10812065890
11387432139
121a7b61656
13cc318b7c
1479bca546
154b45c1b0
hex30672462

812065890 has 96 divisors (see below), whose sum is σ = 2073859200. Its totient is φ = 203470848.

The previous prime is 812065883. The next prime is 812065901. The reversal of 812065890 is 98560218.

It is a Curzon 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, 1808386 + ... + 1808834.

It is an arithmetic number, because the mean of its divisors is an integer number (21602700).

Almost surely, 2812065890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812065890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036929600).

812065890 is an abundant number, since it is smaller than the sum of its proper divisors (1261793310).

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

812065890 is a wasteful number, since it uses less digits than its factorization.

812065890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 812065890 is about 28496.7698169459. The cubic root of 812065890 is about 932.9615728887.

The spelling of 812065890 in words is "eight hundred twelve million, sixty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 167 190 285 334 361 449 501 570 722 835 898 1002 1083 1347 1670 1805 2166 2245 2505 2694 3173 3610 4490 5010 5415 6346 6735 8531 9519 10830 13470 15865 17062 19038 25593 31730 42655 47595 51186 60287 74983 85310 95190 120574 127965 149966 162089 180861 224949 255930 301435 324178 361722 374915 449898 486267 602870 749830 810445 904305 972534 1124745 1424677 1620890 1808610 2249490 2431335 2849354 4274031 4862670 7123385 8548062 14246770 21370155 27068863 42740310 54137726 81206589 135344315 162413178 270688630 406032945 812065890