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820374071 = 1126779951
BaseRepresentation
bin110000111001011…
…110101000110111
32010011200022122212
4300321132220313
53140003432241
6213223244035
726221031066
oct6071365067
92104608585
10820374071
11391097200
121aa8a961b
13100c6765a
147ad501dd
154c04dbeb
hex30e5ea37

820374071 has 6 divisors (see below), whose sum is σ = 901733616. Its totient is φ = 745794500.

The previous prime is 820374067. The next prime is 820374179. The reversal of 820374071 is 170473028.

It is a happy number.

It is not a de Polignac number, because 820374071 - 22 = 820374067 is a prime.

It is a super-2 number, since 2×8203740712 = 1346027232738226082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820374031) 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 5 ways as a sum of consecutive naturals, for example, 3389855 + ... + 3390096.

It is an arithmetic number, because the mean of its divisors is an integer number (150288936).

Almost surely, 2820374071 is an apocalyptic number.

820374071 is a deficient number, since it is larger than the sum of its proper divisors (81359545).

820374071 is a wasteful number, since it uses less digits than its factorization.

820374071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779973 (or 6779962 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 820374071 is about 28642.1729448029. The cubic root of 820374071 is about 936.1324686347.

The spelling of 820374071 in words is "eight hundred twenty million, three hundred seventy-four thousand, seventy-one".

Divisors: 1 11 121 6779951 74579461 820374071