Base | Representation |
---|---|
bin | 10101110110001110010000 |
3 | 101202222010120 |
4 | 111312032100 |
5 | 2431231440 |
6 | 322430240 |
7 | 66452100 |
oct | 25661620 |
9 | 11688116 |
10 | 5727120 |
11 | 3261963 |
12 | 1b02380 |
13 | 1256a39 |
14 | a91200 |
15 | 781dd0 |
hex | 576390 |
5727120 has 120 divisors (see below), whose sum is σ = 20695104. Its totient is φ = 1306368.
The previous prime is 5727103. The next prime is 5727121. The reversal of 5727120 is 217275.
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 (24).
It is not an unprimeable number, because it can be changed into a prime (5727121) 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 23 ways as a sum of consecutive naturals, for example, 11517 + ... + 12003.
Almost surely, 25727120 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 5727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347552).
5727120 is an abundant number, since it is smaller than the sum of its proper divisors (14967984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5727120 is a wasteful number, since it uses less digits than its factorization.
5727120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 517 (or 504 counting only the distinct ones).
The product of its (nonzero) digits is 980, while the sum is 24.
The square root of 5727120 is about 2393.1401964783. The cubic root of 5727120 is about 178.9144540932.
It can be divided in two parts, 57271 and 20, that added together give a triangular number (57291 = T338).
The spelling of 5727120 in words is "five million, seven hundred twenty-seven thousand, one hundred twenty".
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