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820195741 is a prime number
BaseRepresentation
bin110000111000110…
…011000110011101
32010011100021001001
4300320303012131
53134432230431
6213215350301
726216356141
oct6070630635
92104307031
10820195741
11390a85222
121aa822391
13100c04431
147ad05221
154c015e61
hex30e3319d

820195741 has 2 divisors, whose sum is σ = 820195742. Its totient is φ = 820195740.

The previous prime is 820195657. The next prime is 820195793. The reversal of 820195741 is 147591028.

820195741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806844025 + 13351716 = 28405^2 + 3654^2 .

It is a cyclic number.

It is not a de Polignac number, because 820195741 - 223 = 811807133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820195741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820193741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410097870 + 410097871.

It is an arithmetic number, because the mean of its divisors is an integer number (410097871).

Almost surely, 2820195741 is an apocalyptic number.

It is an amenable number.

820195741 is a deficient number, since it is larger than the sum of its proper divisors (1).

820195741 is an equidigital number, since it uses as much as digits as its factorization.

820195741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 820195741 is about 28639.0597087265. The cubic root of 820195741 is about 936.0646326695.

The spelling of 820195741 in words is "eight hundred twenty million, one hundred ninety-five thousand, seven hundred forty-one".