Search a number
-
+
812530320 = 24357483649
BaseRepresentation
bin110000011011100…
…011101010010000
32002121220211001120
4300123203222100
53131001432240
6212343202240
726064252030
oct6033435220
92077824046
10812530320
1138771a068
121a8146380
13cc44c394
1479cab8c0
154b4eead0
hex306e3a90

812530320 has 80 divisors (see below), whose sum is σ = 2878684800. Its totient is φ = 185720832.

The previous prime is 812530291. The next prime is 812530343. The reversal of 812530320 is 23035218.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 240145 + ... + 243504.

It is an arithmetic number, because the mean of its divisors is an integer number (35983560).

Almost surely, 2812530320 is an apocalyptic number.

812530320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812530320 is an abundant number, since it is smaller than the sum of its proper divisors (2066154480).

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

812530320 is a wasteful number, since it uses less digits than its factorization.

812530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483672 (or 483666 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 812530320 is about 28504.9174704997. The cubic root of 812530320 is about 933.1393962126.

Adding to 812530320 its reverse (23035218), we get a palindrome (835565538).

The spelling of 812530320 in words is "eight hundred twelve million, five hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 483649 967298 1450947 1934596 2418245 2901894 3385543 3869192 4836490 5803788 6771086 7254735 7738384 9672980 10156629 11607576 13542172 14509470 16927715 19345960 20313258 23215152 27084344 29018940 33855430 38691920 40626516 50783145 54168688 58037880 67710860 81253032 101566290 116075760 135421720 162506064 203132580 270843440 406265160 812530320