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820722641 = 37127174659
BaseRepresentation
bin110000111010110…
…011101111010001
32010012100000210212
4300322303233101
53140101111031
6213234533505
726224012244
oct6072635721
92105300725
10820722641
11391305082
121aaa37295
1310105a1cb
147b00125b
154c0bc12b
hex30eb3bd1

820722641 has 8 divisors (see below), whose sum is σ = 849546240. Its totient is φ = 792248688.

The previous prime is 820722589. The next prime is 820722653. The reversal of 820722641 is 146227028.

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

It is a cyclic number.

It is not a de Polignac number, because 820722641 - 26 = 820722577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820722598 and 820722607.

It is not an unprimeable number, because it can be changed into a prime (820722671) 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, 82631 + ... + 92028.

It is an arithmetic number, because the mean of its divisors is an integer number (106193280).

Almost surely, 2820722641 is an apocalyptic number.

It is an amenable number.

820722641 is a deficient number, since it is larger than the sum of its proper divisors (28823599).

820722641 is a wasteful number, since it uses less digits than its factorization.

820722641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174823.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 820722641 is about 28648.2572070274. The cubic root of 820722641 is about 936.2650347823.

Adding to 820722641 its reverse (146227028), we get a palindrome (966949669).

The spelling of 820722641 in words is "eight hundred twenty million, seven hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 37 127 4699 174659 6462383 22181693 820722641