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8006991 = 319313829
BaseRepresentation
bin11110100010110101001111
3120001210112020
4132202311033
54022210431
6443341223
7125025666
oct36426517
916053466
108006991
114579853
122821813
131874685
1410c5ddd
15a82696
hex7a2d4f

8006991 has 8 divisors (see below), whose sum is σ = 10732080. Its totient is φ = 5309952.

The previous prime is 8006989. The next prime is 8007001. The reversal of 8006991 is 1996008.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8006991 - 21 = 8006989 is a prime.

It is a super-2 number, since 2×80069912 = 128223809748162, which contains 22 as substring.

8006991 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6336 + ... + 7493.

It is an arithmetic number, because the mean of its divisors is an integer number (1341510).

Almost surely, 28006991 is an apocalyptic number.

8006991 is a deficient number, since it is larger than the sum of its proper divisors (2725089).

8006991 is a wasteful number, since it uses less digits than its factorization.

8006991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14025.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 8006991 is about 2829.6627007472. The cubic root of 8006991 is about 200.0582413714.

The spelling of 8006991 in words is "eight million, six thousand, nine hundred ninety-one".

Divisors: 1 3 193 579 13829 41487 2668997 8006991