Base | Representation |
---|---|
bin | 11101100010101000000 |
3 | 1211011211212 |
4 | 3230111000 |
5 | 221434000 |
6 | 32425252 |
7 | 11141105 |
oct | 3542500 |
9 | 1734755 |
10 | 968000 |
11 | 601300 |
12 | 3a8228 |
13 | 27b7a7 |
14 | 1b2aac |
15 | 141c35 |
hex | ec540 |
968000 has 84 divisors (see below), whose sum is σ = 2634996. Its totient is φ = 352000.
The previous prime is 967999. The next prime is 968003. The reversal of 968000 is 869.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 937024 = 176^2 + 968^2 .
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (968003) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87995 + ... + 88005.
It is an arithmetic number, because the mean of its divisors is an integer number (31369).
2968000 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 968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317498).
968000 is an abundant number, since it is smaller than the sum of its proper divisors (1666996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
968000 is a wasteful number, since it uses less digits than its factorization.
968000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 23.
The square root of 968000 is about 983.8699100999. The cubic root of 968000 is about 98.9217488650.
Adding to 968000 its reverse (869), we get a palindrome (968869).
The spelling of 968000 in words is "nine hundred sixty-eight thousand".
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