Base | Representation |
---|---|
bin | 1111010110011000… |
… | …0101110111100000 |
3 | 101122011021011220020 |
4 | 3311212011313200 |
5 | 31414310402144 |
6 | 1520510313440 |
7 | 204051564654 |
oct | 36546056740 |
9 | 11564234806 |
10 | 4120403424 |
11 | 1824951095 |
12 | 96bab8880 |
13 | 50885a147 |
14 | 2b1336a64 |
15 | 191b0a419 |
hex | f5985de0 |
4120403424 has 96 divisors (see below), whose sum is σ = 11482158240. Its totient is φ = 1289306112.
The previous prime is 4120403387. The next prime is 4120403429. The reversal of 4120403424 is 4243040214.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 4120403394 and 4120403403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4120403429) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664402 + ... + 670574.
It is an arithmetic number, because the mean of its divisors is an integer number (119605815).
Almost surely, 24120403424 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 4120403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741079120).
4120403424 is an abundant number, since it is smaller than the sum of its proper divisors (7361754816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4120403424 is a wasteful number, since it uses less digits than its factorization.
4120403424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6612 (or 6604 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 4120403424 is about 64190.3686233379. The cubic root of 4120403424 is about 1603.1712395389.
Adding to 4120403424 its reverse (4243040214), we get a palindrome (8363443638).
The spelling of 4120403424 in words is "four billion, one hundred twenty million, four hundred three thousand, four hundred twenty-four".
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