Base | Representation |
---|---|
bin | 1000000110011101010100 |
3 | 10222220001000 |
4 | 20012131110 |
5 | 1020423404 |
6 | 113303300 |
7 | 24023160 |
oct | 10063524 |
9 | 3886030 |
10 | 2123604 |
11 | 122054a |
12 | 864b30 |
13 | 594792 |
14 | 3d3ca0 |
15 | 2be339 |
hex | 206754 |
2123604 has 72 divisors (see below), whose sum is σ = 6413120. Its totient is φ = 595296.
The previous prime is 2123603. The next prime is 2123617. The reversal of 2123604 is 4063212.
It is a happy number.
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 211 + 1 + 221 + 35 + 65 + 0 + 47 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2123603) 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, 40042 + ... + 40094.
22123604 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 2123604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206560).
2123604 is an abundant number, since it is smaller than the sum of its proper divisors (4289516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123604 is a wasteful number, since it uses less digits than its factorization.
2123604 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 65 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2123604 is about 1457.2590709960. The cubic root of 2123604 is about 128.5359203531.
Adding to 2123604 its reverse (4063212), we get a palindrome (6186816).
The spelling of 2123604 in words is "two million, one hundred twenty-three thousand, six hundred four".
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