Base | Representation |
---|---|
bin | 1111001101000100100000 |
3 | 21111111100101 |
4 | 33031010200 |
5 | 2010020241 |
6 | 221232144 |
7 | 45610051 |
oct | 17150440 |
9 | 7444311 |
10 | 3985696 |
11 | 2282570 |
12 | 1402654 |
13 | a97200 |
14 | 75a728 |
15 | 53ae31 |
hex | 3cd120 |
3985696 has 72 divisors (see below), whose sum is σ = 9407664. Its totient is φ = 1647360.
The previous prime is 3985669. The next prime is 3985697. The reversal of 3985696 is 6965893.
It is a d-powerful number, because it can be written as 312 + 92 + 85 + 55 + 68 + 95 + 68 .
It is a nialpdrome in base 9 and base 13.
It is not an unprimeable number, because it can be changed into a prime (3985697) 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, 59455 + ... + 59521.
It is an arithmetic number, because the mean of its divisors is an integer number (130662).
Almost surely, 23985696 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 3985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703832).
3985696 is an abundant number, since it is smaller than the sum of its proper divisors (5421968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3985696 is a wasteful number, since it uses less digits than its factorization.
3985696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114 (or 93 counting only the distinct ones).
The product of its digits is 349920, while the sum is 46.
The square root of 3985696 is about 1996.4207973271. The cubic root of 3985696 is about 158.5506609942.
The spelling of 3985696 in words is "three million, nine hundred eighty-five thousand, six hundred ninety-six".
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