Search a number
-
+
6866112 = 263113251
BaseRepresentation
bin11010001100010011000000
3110220211112110
4122030103000
53224203422
6403055320
7112234551
oct32142300
913824473
106866112
11396a680
122371540
1315652b6
14caa328
1590960c
hex68c4c0

6866112 has 56 divisors (see below), whose sum is σ = 19824192. Its totient is φ = 2080000.

The previous prime is 6866077. The next prime is 6866129. The reversal of 6866112 is 2116686.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6866112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487 + ... + 3737.

Almost surely, 26866112 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 6866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9912096).

6866112 is an abundant number, since it is smaller than the sum of its proper divisors (12958080).

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

6866112 is a wasteful number, since it uses less digits than its factorization.

6866112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3267 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 6866112 is about 2620.3266971887. The cubic root of 6866112 is about 190.0656467526.

The spelling of 6866112 in words is "six million, eight hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 3251 6502 9753 13004 19506 26008 35761 39012 52016 71522 78024 104032 107283 143044 156048 208064 214566 286088 312096 429132 572176 624192 858264 1144352 1716528 2288704 3433056 6866112