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6986268 = 2232474129
BaseRepresentation
bin11010101001101000011100
3111010221100200
4122221220130
53242030033
6405423500
7113245062
oct32515034
914127320
106986268
113a41983
12240ab90
1315a7bb3
14cdc032
15930013
hex6a9a1c

6986268 has 36 divisors (see below), whose sum is σ = 18039840. Its totient is φ = 2278656.

The previous prime is 6986261. The next prime is 6986297. The reversal of 6986268 is 8626896.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6986261) 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 11 ways as a sum of consecutive naturals, for example, 373 + ... + 3756.

Almost surely, 26986268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6986268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9019920).

6986268 is an abundant number, since it is smaller than the sum of its proper divisors (11053572).

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

6986268 is a wasteful number, since it uses less digits than its factorization.

6986268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4181 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6986268 is about 2643.1549330298. The cubic root of 6986268 is about 191.1679489117.

The spelling of 6986268 in words is "six million, nine hundred eighty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 4129 8258 12387 16516 24774 37161 49548 74322 148644 194063 388126 582189 776252 1164378 1746567 2328756 3493134 6986268