Base | Representation |
---|---|
bin | 1000000110011001011000 |
3 | 10222212200200 |
4 | 20012121120 |
5 | 1020421402 |
6 | 113302200 |
7 | 24022350 |
oct | 10063130 |
9 | 3885620 |
10 | 2123352 |
11 | 1220340 |
12 | 864960 |
13 | 59462a |
14 | 3d3b60 |
15 | 2be21c |
hex | 206658 |
2123352 has 96 divisors (see below), whose sum is σ = 7188480. Its totient is φ = 550080.
The previous prime is 2123327. The next prime is 2123353. The reversal of 2123352 is 2533212.
2123352 = T83 + T84 + ... + T236.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a d-powerful number, because it can be written as 24 + 1 + 212 + 3 + 313 + 54 + 219 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2123353) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5353 + ... + 5735.
It is an arithmetic number, because the mean of its divisors is an integer number (74880).
22123352 is an apocalyptic number.
2123352 is a gapful number since it is divisible by the number (22) 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 2123352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594240).
2123352 is an abundant number, since it is smaller than the sum of its proper divisors (5065128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123352 is a wasteful number, since it uses less digits than its factorization.
2123352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 413 (or 406 counting only the distinct ones).
The product of its digits is 360, while the sum is 18.
The square root of 2123352 is about 1457.1726047384. The cubic root of 2123352 is about 128.5308358626.
Adding to 2123352 its reverse (2533212), we get a palindrome (4656564).
The spelling of 2123352 in words is "two million, one hundred twenty-three thousand, three hundred fifty-two".
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