Base | Representation |
---|---|
bin | 1111010110011100010000 |
3 | 21120110000000 |
4 | 33112130100 |
5 | 2012232310 |
6 | 222130000 |
7 | 46130004 |
oct | 17263420 |
9 | 7513000 |
10 | 4024080 |
11 | 22a9395 |
12 | 1420900 |
13 | aab818 |
14 | 76a704 |
15 | 5474c0 |
hex | 3d6710 |
4024080 has 160 divisors (see below), whose sum is σ = 14641920. Its totient is φ = 1026432.
The previous prime is 4024073. The next prime is 4024091. The reversal of 4024080 is 804204.
It is a happy number.
4024080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 174949 + ... + 174971.
It is an arithmetic number, because the mean of its divisors is an integer number (91512).
Almost surely, 24024080 is an apocalyptic number.
4024080 is a gapful number since it is divisible by the number (40) 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 4024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320960).
4024080 is an abundant number, since it is smaller than the sum of its proper divisors (10617840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4024080 is an equidigital number, since it uses as much as digits as its factorization.
4024080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 4024080 is about 2006.0109670687. The cubic root of 4024080 is about 159.0580066033.
Adding to 4024080 its reverse (804204), we get a palindrome (4828284).
The spelling of 4024080 in words is "four million, twenty-four thousand, eighty".
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