Base | Representation |
---|---|
bin | 11001000010101… |
… | …101001111100000 |
3 | 1002021120022201202 |
4 | 121002231033200 |
5 | 1330023440000 |
6 | 105405020332 |
7 | 13261062650 |
oct | 3102551740 |
9 | 1067508652 |
10 | 420140000 |
11 | 1a6181445 |
12 | b88546a8 |
13 | 69073667 |
14 | 3db28360 |
15 | 26d40dd5 |
hex | 190ad3e0 |
420140000 has 120 divisors (see below), whose sum is σ = 1181659248. Its totient is φ = 144000000.
The previous prime is 420139991. The next prime is 420140009. The reversal of 420140000 is 41024.
It is an interprime number because it is at equal distance from previous prime (420139991) and next prime (420140009).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (420140009) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 138500 + ... + 141500.
Almost surely, 2420140000 is an apocalyptic number.
420140000 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 420140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590829624).
420140000 is an abundant number, since it is smaller than the sum of its proper divisors (761519248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420140000 is an equidigital number, since it uses as much as digits as its factorization.
420140000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3038 (or 3015 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 11.
The square root of 420140000 is about 20497.3168975844. The cubic root of 420140000 is about 748.9704391712.
Adding to 420140000 its reverse (41024), we get a palindrome (420181024).
The spelling of 420140000 in words is "four hundred twenty million, one hundred forty thousand".
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