Base | Representation |
---|---|
bin | 11001000100000… |
… | …101001000100000 |
3 | 1002022020121120002 |
4 | 121010011020200 |
5 | 1330122000000 |
6 | 105420435132 |
7 | 13264122344 |
oct | 3104051040 |
9 | 1068217502 |
10 | 420500000 |
11 | 1a63a7968 |
12 | b89a8aa8 |
13 | 6916b48b |
14 | 3dbbd624 |
15 | 26db28d5 |
hex | 19105220 |
420500000 has 126 divisors (see below), whose sum is σ = 1071724563. Its totient is φ = 162400000.
The previous prime is 420499987. The next prime is 420500009. The reversal of 420500000 is 5024.
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.
420500000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 11 ways, for example, as 361456144 + 59043856 = 19012^2 + 7684^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=14500.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (420500009) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 14499986 + ... + 14500014.
Almost surely, 2420500000 is an apocalyptic number.
420500000 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 420500000
420500000 is an abundant number, since it is smaller than the sum of its proper divisors (651224563).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420500000 is an frugal number, since it uses more digits than its factorization.
420500000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 98 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 40, while the sum is 11.
The square root of 420500000 is about 20506.0966544099. The cubic root of 420500000 is about 749.1842983479.
Adding to 420500000 its reverse (5024), we get a palindrome (420505024).
The spelling of 420500000 in words is "four hundred twenty million, five hundred thousand".
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