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706928 = 241723113
BaseRepresentation
bin10101100100101110000
31022220201112
42230211300
5140110203
623052452
76003005
oct2544560
91286645
10706928
11443142
122a1128
131b9a01
141458ac
15de6d8
hexac970

706928 has 40 divisors (see below), whose sum is σ = 1526688. Its totient is φ = 315392.

The previous prime is 706921. The next prime is 706943. The reversal of 706928 is 829607.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 706894 and 706903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6200 + ... + 6312.

2706928 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 706928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344).

706928 is an abundant number, since it is smaller than the sum of its proper divisors (819760).

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

706928 is a wasteful number, since it uses less digits than its factorization.

706928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 706928 is about 840.7901046040. The cubic root of 706928 is about 89.0823628418.

The spelling of 706928 in words is "seven hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 113 136 184 226 272 368 391 452 782 904 1564 1808 1921 2599 3128 3842 5198 6256 7684 10396 15368 20792 30736 41584 44183 88366 176732 353464 706928