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820296191 = 11135736337
BaseRepresentation
bin110000111001001…
…011100111111111
32010011112100211102
4300321023213333
53134443434231
6213221443315
726220255041
oct6071134777
92104470742
10820296191
11391043740
121aa87053b
13100c3b080
147ad2da91
154c035acb
hex30e4b9ff

820296191 has 8 divisors (see below), whose sum is σ = 963704784. Its totient is φ = 688360320.

The previous prime is 820296167. The next prime is 820296199. The reversal of 820296191 is 191692028.

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 820296191 - 210 = 820295167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820296199) 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 7 ways as a sum of consecutive naturals, for example, 2868026 + ... + 2868311.

It is an arithmetic number, because the mean of its divisors is an integer number (120463098).

Almost surely, 2820296191 is an apocalyptic number.

820296191 is a deficient number, since it is larger than the sum of its proper divisors (143408593).

820296191 is a wasteful number, since it uses less digits than its factorization.

820296191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736361.

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 820296191 is about 28640.8133788131. The cubic root of 820296191 is about 936.1028446269.

The spelling of 820296191 in words is "eight hundred twenty million, two hundred ninety-six thousand, one hundred ninety-one".

Divisors: 1 11 13 143 5736337 63099707 74572381 820296191