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8020991 = 111759727
BaseRepresentation
bin11110100110001111111111
3120002111201202
4132212033333
54023132431
6443530115
7125114546
oct36461777
916074652
108020991
114589320
12282993b
13187ab64
1410cb15d
15a868cb
hex7a63ff

8020991 has 16 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 6737280.

The previous prime is 8020981. The next prime is 8020993. The reversal of 8020991 is 1990208.

8020991 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8020991 - 26 = 8020927 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 (8020993) 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 15 ways as a sum of consecutive naturals, for example, 10670 + ... + 11396.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 28020991 is an apocalyptic number.

8020991 is a deficient number, since it is larger than the sum of its proper divisors (1413889).

8020991 is a wasteful number, since it uses less digits than its factorization.

8020991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 8020991 is about 2832.1354134292. The cubic root of 8020991 is about 200.1747722289.

The spelling of 8020991 in words is "eight million, twenty thousand, nine hundred ninety-one".

Divisors: 1 11 17 59 187 649 727 1003 7997 11033 12359 42893 135949 471823 729181 8020991