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812244540 = 2235231314493
BaseRepresentation
bin110000011010011…
…101111000111100
32002121101022001010
4300122131320330
53130413311130
6212333115220
726061651612
oct6032357074
92077338033
10812244540
11387544388
121a8028b10
13cc37c293
1479c356b2
154b4950b0
hex3069de3c

812244540 has 96 divisors (see below), whose sum is σ = 2391814656. Its totient is φ = 205553920.

The previous prime is 812244533. The next prime is 812244571. The reversal of 812244540 is 45442218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 812244498 and 812244507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178534 + ... + 183026.

It is an arithmetic number, because the mean of its divisors is an integer number (24914736).

Almost surely, 2812244540 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 812244540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195907328).

812244540 is an abundant number, since it is smaller than the sum of its proper divisors (1579570116).

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

812244540 is a wasteful number, since it uses less digits than its factorization.

812244540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 812244540 is about 28499.9042103653. The cubic root of 812244540 is about 933.0299833326.

Adding to 812244540 its reverse (45442218), we get a palindrome (857686758).

The spelling of 812244540 in words is "eight hundred twelve million, two hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 131 138 230 262 276 345 393 460 524 655 690 786 1310 1380 1572 1965 2620 3013 3930 4493 6026 7860 8986 9039 12052 13479 15065 17972 18078 22465 26958 30130 36156 44930 45195 53916 60260 67395 89860 90390 103339 134790 180780 206678 269580 310017 413356 516695 588583 620034 1033390 1177166 1240068 1550085 1765749 2066780 2354332 2942915 3100170 3531498 5885830 6200340 7062996 8828745 11771660 13537409 17657490 27074818 35314980 40612227 54149636 67687045 81224454 135374090 162448908 203061135 270748180 406122270 812244540