Base | Representation |
---|---|
bin | 1001000000111110… |
… | …0101011001000100 |
3 | 20020122122221222100 |
4 | 2100033211121010 |
5 | 14424010120140 |
6 | 1040045032100 |
7 | 113653461321 |
oct | 22017453104 |
9 | 6218587870 |
10 | 2420004420 |
11 | 1032036159 |
12 | 576555630 |
13 | 2c74a10a2 |
14 | 18d589b48 |
15 | e26c8530 |
hex | 903e5644 |
2420004420 has 36 divisors (see below), whose sum is σ = 7340680620. Its totient is φ = 645334464.
The previous prime is 2420004373. The next prime is 2420004443. The reversal of 2420004420 is 244000242.
2420004420 is a `hidden beast` number, since 24 + 200 + 0 + 442 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1834751556 + 585252864 = 42834^2 + 24192^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 = 2420004393 and 2420004402.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6722055 + ... + 6722414.
It is an arithmetic number, because the mean of its divisors is an integer number (203907795).
Almost surely, 22420004420 is an apocalyptic number.
2420004420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2420004420 is an abundant number, since it is smaller than the sum of its proper divisors (4920676200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2420004420 is a wasteful number, since it uses less digits than its factorization.
2420004420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13444484 (or 13444479 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 2420004420 is about 49193.5404296133. The cubic root of 2420004420 is about 1342.5755062970.
Adding to 2420004420 its reverse (244000242), we get a palindrome (2664004662).
The spelling of 2420004420 in words is "two billion, four hundred twenty million, four thousand, four hundred twenty".
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