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6986142 = 233532441
BaseRepresentation
bin11010101001100110011110
3111010221012000
4122221212132
53242024032
6405423130
7113244522
oct32514636
914127160
106986142
113a41879
12240aaa6
1315a7b17
14cdbd82
1592ee7c
hex6a999e

6986142 has 32 divisors (see below), whose sum is σ = 15824160. Its totient is φ = 2283840.

The previous prime is 6986123. The next prime is 6986171. The reversal of 6986142 is 2416896.

It is a junction number, because it is equal to n+sod(n) for n = 6986097 and 6986106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1642 + ... + 4082.

It is an arithmetic number, because the mean of its divisors is an integer number (494505).

Almost surely, 26986142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6986142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912080).

6986142 is an abundant number, since it is smaller than the sum of its proper divisors (8838018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6986142 is a wasteful number, since it uses less digits than its factorization.

6986142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2499 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6986142 is about 2643.1310977702. The cubic root of 6986142 is about 191.1667996426.

The spelling of 6986142 in words is "six million, nine hundred eighty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2441 2862 4882 7323 14646 21969 43938 65907 129373 131814 258746 388119 776238 1164357 2328714 3493071 6986142