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820362741 = 311131189767
BaseRepresentation
bin110000111001011…
…011110111110101
32010011122202010020
4300321123313311
53140003101431
6213223115353
726220653052
oct6071336765
92104582106
10820362741
11391089740
121aa8a2b59
13100c62453
147ad4a029
154c04a696
hex30e5bdf5

820362741 has 16 divisors (see below), whose sum is σ = 1202370048. Its totient is φ = 493391600.

The previous prime is 820362737. The next prime is 820362743. The reversal of 820362741 is 147263028.

It is a cyclic number.

It is not a de Polignac number, because 820362741 - 22 = 820362737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820362743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90561 + ... + 99206.

It is an arithmetic number, because the mean of its divisors is an integer number (75148128).

Almost surely, 2820362741 is an apocalyptic number.

It is an amenable number.

820362741 is a deficient number, since it is larger than the sum of its proper divisors (382007307).

820362741 is a wasteful number, since it uses less digits than its factorization.

820362741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189912.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 820362741 is about 28641.9751588468. The cubic root of 820362741 is about 936.1281590439.

The spelling of 820362741 in words is "eight hundred twenty million, three hundred sixty-two thousand, seven hundred forty-one".

Divisors: 1 3 11 33 131 393 1441 4323 189767 569301 2087437 6262311 24859477 74578431 273454247 820362741