Base | Representation |
---|---|
bin | 111110111111… |
… | …0010001000000 |
3 | 2022010202002120 |
4 | 1331332101000 |
5 | 31423214130 |
6 | 3135444240 |
7 | 550456041 |
oct | 175762100 |
9 | 68122076 |
10 | 33023040 |
11 | 17705776 |
12 | b086680 |
13 | 6ac2c7b |
14 | 45588c8 |
15 | 2d74910 |
hex | 1f7e440 |
33023040 has 112 divisors (see below), whose sum is σ = 107533440. Its totient is φ = 8581120.
The previous prime is 33023033. The next prime is 33023041. The reversal of 33023040 is 4032033.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (33023041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38941 + ... + 39779.
It is an arithmetic number, because the mean of its divisors is an integer number (960120).
Almost surely, 233023040 is an apocalyptic number.
33023040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).
33023040 is an abundant number, since it is smaller than the sum of its proper divisors (74510400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33023040 is a wasteful number, since it uses less digits than its factorization.
33023040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 900 (or 890 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 15.
The square root of 33023040 is about 5746.5676712278. The cubic root of 33023040 is about 320.8280637054.
Adding to 33023040 its reverse (4032033), we get a palindrome (37055073).
The spelling of 33023040 in words is "thirty-three million, twenty-three thousand, forty".
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