Search a number
-
+
820505283 = 31321038597
BaseRepresentation
bin110000111001111…
…110101011000011
32010011220222122120
4300321332223003
53140022132113
6213230135323
726222115453
oct6071765303
92104828576
10820505283
11391176844
121aa951543
13100cb22b0
147ad85d63
154c077a23
hex30e7eac3

820505283 has 8 divisors (see below), whose sum is σ = 1178161488. Its totient is φ = 504926304.

The previous prime is 820505261. The next prime is 820505293. The reversal of 820505283 is 382505028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 820505283 - 28 = 820505027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820505233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10519260 + ... + 10519337.

It is an arithmetic number, because the mean of its divisors is an integer number (147270186).

Almost surely, 2820505283 is an apocalyptic number.

820505283 is a deficient number, since it is larger than the sum of its proper divisors (357656205).

820505283 is a wasteful number, since it uses less digits than its factorization.

820505283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21038613.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 820505283 is about 28644.4633917272. The cubic root of 820505283 is about 936.1823748380.

The spelling of 820505283 in words is "eight hundred twenty million, five hundred five thousand, two hundred eighty-three".

Divisors: 1 3 13 39 21038597 63115791 273501761 820505283