Base | Representation |
---|---|
bin | 10100011000011110010000 |
3 | 101001110101100 |
4 | 110120132100 |
5 | 2331434440 |
6 | 310304400 |
7 | 63262416 |
oct | 24303620 |
9 | 11043340 |
10 | 5343120 |
11 | 301a402 |
12 | 1958100 |
13 | 1151013 |
14 | 9d12b6 |
15 | 708230 |
hex | 518790 |
5343120 has 120 divisors (see below), whose sum is σ = 18483192. Its totient is φ = 1382400.
The previous prime is 5343119. The next prime is 5343127. The reversal of 5343120 is 213435.
It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 4875264 = 684^2 + 2208^2 .
It is a tau number, because it is divible by the number of its divisors (120).
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 = 5343093 and 5343102.
It is not an unprimeable number, because it can be changed into a prime (5343127) 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, 29430 + ... + 29610.
Almost surely, 25343120 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 5343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596).
5343120 is an abundant number, since it is smaller than the sum of its proper divisors (13140072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5343120 is a wasteful number, since it uses less digits than its factorization.
5343120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 241 (or 232 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 5343120 is about 2311.5189811031. The cubic root of 5343120 is about 174.8228956564.
Adding to 5343120 its reverse (213435), we get a palindrome (5556555).
The spelling of 5343120 in words is "five million, three hundred forty-three thousand, one hundred twenty".
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