Base | Representation |
---|---|
bin | 1001011000111010001000 |
3 | 11122001022000 |
4 | 21120322020 |
5 | 1112230240 |
6 | 124431000 |
7 | 26630601 |
oct | 11307210 |
9 | 4561260 |
10 | 2461320 |
11 | 1431254 |
12 | 9a8460 |
13 | 682404 |
14 | 480da8 |
15 | 339430 |
hex | 258e88 |
2461320 has 128 divisors (see below), whose sum is σ = 8553600. Its totient is φ = 628992.
The previous prime is 2461313. The next prime is 2461337. The reversal of 2461320 is 231642.
It is a happy number.
It is a super-2 number, since 2×24613202 = 12116192284800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2461293 and 2461302.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46414 + ... + 46466.
It is an arithmetic number, because the mean of its divisors is an integer number (66825).
22461320 is an apocalyptic number.
2461320 is a gapful number since it is divisible by the number (20) 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 2461320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276800).
2461320 is an abundant number, since it is smaller than the sum of its proper divisors (6092280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2461320 is a wasteful number, since it uses less digits than its factorization.
2461320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2461320 is about 1568.8594583327. The cubic root of 2461320 is about 135.0172817382.
Adding to 2461320 its reverse (231642), we get a palindrome (2692962).
The spelling of 2461320 in words is "two million, four hundred sixty-one thousand, three hundred twenty".
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