Base | Representation |
---|---|
bin | 10000000000101011101000 |
3 | 21220020100000 |
4 | 100000223220 |
5 | 2033301341 |
6 | 225543000 |
7 | 50450301 |
oct | 20005350 |
9 | 7806300 |
10 | 4197096 |
11 | 2407382 |
12 | 14a4a60 |
13 | b3c4b7 |
14 | 7b37a8 |
15 | 57d8b6 |
hex | 400ae8 |
4197096 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1306368.
The previous prime is 4197091. The next prime is 4197097. The reversal of 4197096 is 6907914.
It is a super-2 number, since 2×41970962 = 35231229666432, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 4197096.
It is not an unprimeable number, because it can be changed into a prime (4197091) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32985 + ... + 33111.
It is an arithmetic number, because the mean of its divisors is an integer number (131040).
Almost surely, 24197096 is an apocalyptic number.
4197096 is the 1296-th heptagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4197096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).
4197096 is an abundant number, since it is smaller than the sum of its proper divisors (8382744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4197096 is a wasteful number, since it uses less digits than its factorization.
4197096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 165 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The square root of 4197096 is about 2048.6815272267. The cubic root of 4197096 is about 161.3056703400.
Adding to 4197096 its product of nonzero digits (13608), we get a square (4210704 = 20522).
The spelling of 4197096 in words is "four million, one hundred ninety-seven thousand, ninety-six".
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