Base | Representation |
---|---|
bin | 1100111001010… |
… | …1101000000000 |
3 | 10202210001212020 |
4 | 3032111220000 |
5 | 102321341430 |
6 | 5211201440 |
7 | 1224521331 |
oct | 316255000 |
9 | 122701766 |
10 | 54090240 |
11 | 28594886 |
12 | 16146280 |
13 | b28b079 |
14 | 7280288 |
15 | 4b36b10 |
hex | 3395a00 |
54090240 has 80 divisors (see below), whose sum is σ = 172944288. Its totient is φ = 14422016.
The previous prime is 54090217. The next prime is 54090271. The reversal of 54090240 is 4209045.
It is a tau number, because it is divible by the number of its divisors (80).
It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 54090240.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4159 + ... + 11201.
Almost surely, 254090240 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 54090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86472144).
54090240 is an abundant number, since it is smaller than the sum of its proper divisors (118854048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54090240 is an equidigital number, since it uses as much as digits as its factorization.
54090240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7069 (or 7053 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 54090240 is about 7354.6067196010. The cubic root of 54090240 is about 378.1867446014.
Adding to 54090240 its reverse (4209045), we get a palindrome (58299285).
The spelling of 54090240 in words is "fifty-four million, ninety thousand, two hundred forty".
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