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820127020 = 225192113591
BaseRepresentation
bin110000111000100…
…010010100101100
32010011012202202211
4300320202110230
53134423031040
6213214100204
726215651606
oct6070422454
92104182684
10820127020
11390a38629
121aa7aa664
13100bac07b
147acc8176
154c0008ea
hex30e2252c

820127020 has 36 divisors (see below), whose sum is σ = 1817699184. Its totient is φ = 310782240.

The previous prime is 820126999. The next prime is 820127027. The reversal of 820127020 is 20721028.

It is a junction number, because it is equal to n+sod(n) for n = 820126982 and 820127000.

It is not an unprimeable number, because it can be changed into a prime (820127027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49576 + ... + 64015.

It is an arithmetic number, because the mean of its divisors is an integer number (50491644).

Almost surely, 2820127020 is an apocalyptic number.

It is an amenable number.

820127020 is an abundant number, since it is smaller than the sum of its proper divisors (997572164).

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

820127020 is a wasteful number, since it uses less digits than its factorization.

820127020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113638 (or 113617 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 820127020 is about 28637.8599060754. The cubic root of 820127020 is about 936.0384888719.

Adding to 820127020 its reverse (20721028), we get a palindrome (840848048).

The spelling of 820127020 in words is "eight hundred twenty million, one hundred twenty-seven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 113591 227182 454364 567955 1135910 2158229 2271820 4316458 8632916 10791145 21582290 41006351 43164580 82012702 164025404 205031755 410063510 820127020