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6806268 = 223473001
BaseRepresentation
bin11001111101101011111100
3110210210110000
4121331223330
53220300033
6401514300
7111565230
oct31755374
913723400
106806268
113929717
122342990
131543ca1
14c925c0
158e6a13
hex67dafc

6806268 has 60 divisors (see below), whose sum is σ = 20341552. Its totient is φ = 1944000.

The previous prime is 6806263. The next prime is 6806269. The reversal of 6806268 is 8626086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 768 + ... + 3768.

Almost surely, 26806268 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 6806268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10170776).

6806268 is an abundant number, since it is smaller than the sum of its proper divisors (13535284).

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

6806268 is a wasteful number, since it uses less digits than its factorization.

6806268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6806268 is about 2608.8825193941. The cubic root of 6806268 is about 189.5118401227.

The spelling of 6806268 in words is "six million, eight hundred six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 3001 6002 9003 12004 18006 21007 27009 36012 42014 54018 63021 81027 84028 108036 126042 162054 189063 243081 252084 324108 378126 486162 567189 756252 972324 1134378 1701567 2268756 3403134 6806268