| Base | Representation |
|---|---|
| bin | 1001000000111110… |
| … | …0100010100000000 |
| 3 | 20020122122201220122 |
| 4 | 2100033210110000 |
| 5 | 14424010000000 |
| 6 | 1040044555412 |
| 7 | 113653442405 |
| oct | 22017442400 |
| 9 | 6218581818 |
| 10 | 2420000000 |
| 11 | 1032032900 |
| 12 | 576552b68 |
| 13 | 2c749c082 |
| 14 | 18d5882ac |
| 15 | e26c7085 |
| hex | 903e4500 |
2420000000 has 216 divisors, whose sum is σ = 6636994728. Its totient is φ = 880000000.
The previous prime is 2419999957. The next prime is 2420000003. The reversal of 2420000000 is 242.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 4 ways, for example, as 2393949184 + 26050816 = 48928^2 + 5104^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2420000003) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219999995 + ... + 220000005.
Almost surely, 22420000000 is an apocalyptic number.
2420000000 is a gapful number since it is divisible by the number (20) 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 2420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318497364).
2420000000 is an abundant number, since it is smaller than the sum of its proper divisors (4216994728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2420000000 is an frugal number, since it uses more digits than its factorization.
2420000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 8.
The square root of 2420000000 is about 49193.4955049954. The cubic root of 2420000000 is about 1342.5746889173.
Adding to 2420000000 its reverse (242), we get a palindrome (2420000242).
2420000000 divided by its reverse (242) gives a 7-th power (10000000 = 107).
The spelling of 2420000000 in words is "two billion, four hundred twenty million", and thus it is an aban number.
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