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678096 = 243217277
BaseRepresentation
bin10100101100011010000
31021110011200
42211203100
5133144341
622311200
75522646
oct2454320
91243150
10678096
11423511
12288500
131a9853
14139196
15d5db6
hexa58d0

678096 has 60 divisors (see below), whose sum is σ = 2016612. Its totient is φ = 211968.

The previous prime is 678077. The next prime is 678101. The reversal of 678096 is 690876.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 360000 = 564^2 + 600^2 .

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 678096.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 678096.

It is an unprimeable number.

678096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2310 + ... + 2586.

2678096 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 678096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008306).

678096 is an abundant number, since it is smaller than the sum of its proper divisors (1338516).

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

678096 is a wasteful number, since it uses less digits than its factorization.

678096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 678096 is about 823.4658462863. The cubic root of 678096 is about 87.8544425674.

The spelling of 678096 in words is "six hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 277 306 408 554 612 816 831 1108 1224 1662 2216 2448 2493 3324 4432 4709 4986 6648 9418 9972 13296 14127 18836 19944 28254 37672 39888 42381 56508 75344 84762 113016 169524 226032 339048 678096