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812099860 = 22511131716703
BaseRepresentation
bin110000011001111…
…010100100010100
32002121002221120121
4300121322210110
53130344143420
6212330041324
726060510035
oct6031724424
92077087517
10812099860
11387455710
121a7b79244
13cc32b480
1479bd8a8c
154b4672aa
hex3067a914

812099860 has 96 divisors (see below), whose sum is σ = 2121541632. Its totient is φ = 256542720.

The previous prime is 812099857. The next prime is 812099863. The reversal of 812099860 is 68990218.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (812099857) and next prime (812099863).

It is a super-2 number, since 2×8120998602 = 1319012365224039200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812099863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40269 + ... + 56971.

It is an arithmetic number, because the mean of its divisors is an integer number (22099392).

Almost surely, 2812099860 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 812099860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060770816).

812099860 is an abundant number, since it is smaller than the sum of its proper divisors (1309441772).

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

812099860 is a wasteful number, since it uses less digits than its factorization.

812099860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16753 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 812099860 is about 28497.3658431793. The cubic root of 812099860 is about 932.9745817932.

The spelling of 812099860 in words is "eight hundred twelve million, ninety-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 286 340 374 442 572 715 748 884 935 1105 1430 1870 2210 2431 2860 3740 4420 4862 9724 12155 16703 24310 33406 48620 66812 83515 167030 183733 217139 283951 334060 367466 434278 567902 734932 868556 918665 1085695 1135804 1419755 1837330 2171390 2388529 2839510 3123461 3674660 3691363 4342780 4777058 5679020 6246922 7382726 9554116 11942645 12493844 14765452 15617305 18456815 23885290 31234610 36913630 40604993 47770580 62469220 73827260 81209986 162419972 203024965 406049930 812099860