Base | Representation |
---|---|
bin | 111111010011010100000 |
3 | 10220101100220 |
4 | 13322122200 |
5 | 1012334042 |
6 | 112243040 |
7 | 23426304 |
oct | 7723240 |
9 | 3811326 |
10 | 2074272 |
11 | 1197482 |
12 | 840480 |
13 | 5781a5 |
14 | 3bdd04 |
15 | 2ae8ec |
hex | 1fa6a0 |
2074272 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 614400.
The previous prime is 2074243. The next prime is 2074273. The reversal of 2074272 is 2724702.
2074272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2074273) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50572 + ... + 50612.
It is an arithmetic number, because the mean of its divisors is an integer number (63504).
22074272 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 2074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).
2074272 is an abundant number, since it is smaller than the sum of its proper divisors (4022112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2074272 is a wasteful number, since it uses less digits than its factorization.
2074272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 1568, while the sum is 24.
The square root of 2074272 is about 1440.2333144321. The cubic root of 2074272 is about 127.5328020178.
Adding to 2074272 its reverse (2724702), we get a palindrome (4798974).
It can be divided in two parts, 2074 and 272, that added together give a triangular number (2346 = T68).
The spelling of 2074272 in words is "two million, seventy-four thousand, two hundred seventy-two".
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