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806031090 = 2325233671061
BaseRepresentation
bin110000000010110…
…000111011110010
32002011200121210100
4300002300323302
53122320443330
6211552013230
725655102604
oct6002607362
92064617710
10806031090
11383a900a7
121a5b31216
13cacb5097
1479099174
154ab69060
hex300b0ef2

806031090 has 96 divisors (see below), whose sum is σ = 2194822656. Its totient is φ = 204842880.

The previous prime is 806031077. The next prime is 806031097. The reversal of 806031090 is 90130608.

It is a super-2 number, since 2×8060310902 = 1299372236093176200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (806031097) 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 47 ways as a sum of consecutive naturals, for example, 759160 + ... + 760220.

It is an arithmetic number, because the mean of its divisors is an integer number (22862736).

Almost surely, 2806031090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806031090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097411328).

806031090 is an abundant number, since it is smaller than the sum of its proper divisors (1388791566).

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

806031090 is a wasteful number, since it uses less digits than its factorization.

806031090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 806031090 is about 28390.6866771482. The cubic root of 806031090 is about 930.6447488827.

Adding to 806031090 its reverse (90130608), we get a palindrome (896161698).

The spelling of 806031090 in words is "eight hundred six million, thirty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 367 414 690 734 1035 1061 1101 1835 2070 2122 2202 3183 3303 3670 5305 5505 6366 6606 8441 9549 10610 11010 15915 16515 16882 19098 24403 25323 31830 33030 42205 47745 48806 50646 73209 75969 84410 95490 122015 126615 146418 151938 219627 244030 253230 366045 379845 389387 439254 732090 759690 778774 1098135 1168161 1946935 2196270 2336322 3504483 3893870 5840805 7008966 8955901 11681610 17522415 17911802 26867703 35044830 44779505 53735406 80603109 89559010 134338515 161206218 268677030 403015545 806031090