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806881140 = 2232513344821
BaseRepresentation
bin110000000110000…
…000011101110100
32002020021210211200
4300012000131310
53123030144030
6212022132500
725665243102
oct6006003564
92066253750
10806881140
1138451081a
121a6281130
13cb221c80
147923ac72
154ac85d60
hex30180774

806881140 has 72 divisors (see below), whose sum is σ = 2635819368. Its totient is φ = 198616320.

The previous prime is 806881129. The next prime is 806881177. The reversal of 806881140 is 41188608.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 772728804 = 5844^2 + 27798^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 806881095 and 806881104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170071 + ... + 174750.

Almost surely, 2806881140 is an apocalyptic number.

It is an amenable number.

806881140 is an abundant number, since it is smaller than the sum of its proper divisors (1828938228).

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

806881140 is a wasteful number, since it uses less digits than its factorization.

806881140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344849 (or 344844 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 806881140 is about 28405.6533105648. The cubic root of 806881140 is about 930.9717902926.

The spelling of 806881140 in words is "eight hundred six million, eight hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 344821 689642 1034463 1379284 1724105 2068926 3103389 3448210 4137852 4482673 5172315 6206778 6896420 8965346 10344630 12413556 13448019 15516945 17930692 20689260 22413365 26896038 31033890 40344057 44826730 53792076 62067780 67240095 80688114 89653460 134480190 161376228 201720285 268960380 403440570 806881140