Search a number
-
+
810620328 = 233721973499
BaseRepresentation
bin110000010100010…
…001010110101000
32002111022210001010
4300110101112220
53130004322303
6212234223520
726042105400
oct6024212650
92074283033
10810620328
11386635061
121a7584ba0
13cbc30bcb
1479931800
154b273c03
hex305115a8

810620328 has 96 divisors (see below), whose sum is σ = 2370060000. Its totient is φ = 230364288.

The previous prime is 810620311. The next prime is 810620329. The reversal of 810620328 is 823026018.

It is a junction number, because it is equal to n+sod(n) for n = 810620295 and 810620304.

It is not an unprimeable number, because it can be changed into a prime (810620329) by changing a digit.

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, 229923 + ... + 233421.

It is an arithmetic number, because the mean of its divisors is an integer number (24688125).

Almost surely, 2810620328 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 810620328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185030000).

810620328 is an abundant number, since it is smaller than the sum of its proper divisors (1559439672).

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

810620328 is a wasteful number, since it uses less digits than its factorization.

810620328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 810620328 is about 28471.3949078720. The cubic root of 810620328 is about 932.4076544385.

The spelling of 810620328 in words is "eight hundred ten million, six hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 197 294 392 394 588 591 788 1176 1182 1379 1576 2364 2758 3499 4137 4728 5516 6998 8274 9653 10497 11032 13996 16548 19306 20994 24493 27992 28959 33096 38612 41988 48986 57918 73479 77224 83976 97972 115836 146958 171451 195944 231672 293916 342902 514353 587832 685804 689303 1028706 1371608 1378606 2057412 2067909 2757212 4114824 4135818 4825121 5514424 8271636 9650242 14475363 16543272 19300484 28950726 33775847 38600968 57901452 67551694 101327541 115802904 135103388 202655082 270206776 405310164 810620328