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8012017 = 133716657
BaseRepresentation
bin11110100100000011110001
3120002001102101
4132210003301
54022341032
6443420401
7125046436
oct36440361
916061371
108012017
114582602
122824701
131876a50
1410c7b8d
15a83de7
hex7a40f1

8012017 has 8 divisors (see below), whose sum is σ = 8862056. Its totient is φ = 7195392.

The previous prime is 8012003. The next prime is 8012021. The reversal of 8012017 is 7102108.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 3996001 = 2004^2 + 1999^2 .

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 8012017 - 215 = 7979249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8011985 and 8012003.

It is not an unprimeable number, because it can be changed into a prime (8012057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7848 + ... + 8809.

It is an arithmetic number, because the mean of its divisors is an integer number (1107757).

Almost surely, 28012017 is an apocalyptic number.

It is an amenable number.

8012017 is a deficient number, since it is larger than the sum of its proper divisors (850039).

8012017 is a wasteful number, since it uses less digits than its factorization.

8012017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16707.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 8012017 is about 2830.5506531415. The cubic root of 8012017 is about 200.1000915667.

Subtracting from 8012017 its reverse (7102108), we obtain a palindrome (909909).

The spelling of 8012017 in words is "eight million, twelve thousand, seventeen".

Divisors: 1 13 37 481 16657 216541 616309 8012017