Base | Representation |
---|---|
bin | 11001000011110… |
… | …010001100011000 |
3 | 1002022002200010220 |
4 | 121003302030120 |
5 | 1330112004144 |
6 | 105415040040 |
7 | 13263350232 |
oct | 3103621430 |
9 | 1068080126 |
10 | 420422424 |
11 | 1a6354654 |
12 | b8970020 |
13 | 69142086 |
14 | 3db9d252 |
15 | 26d99919 |
hex | 190f2318 |
420422424 has 64 divisors (see below), whose sum is σ = 1109980800. Its totient is φ = 132332544.
The previous prime is 420422411. The next prime is 420422459. The reversal of 420422424 is 424224024.
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 = 420422394 and 420422403.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156904 + ... + 159560.
It is an arithmetic number, because the mean of its divisors is an integer number (17343450).
Almost surely, 2420422424 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 420422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554990400).
420422424 is an abundant number, since it is smaller than the sum of its proper divisors (689558376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420422424 is a wasteful number, since it uses less digits than its factorization.
420422424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3032 (or 3028 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 24.
The square root of 420422424 is about 20504.2050321391. The cubic root of 420422424 is about 749.1382243919.
Adding to 420422424 its reverse (424224024), we get a palindrome (844646448).
The spelling of 420422424 in words is "four hundred twenty million, four hundred twenty-two thousand, four hundred twenty-four".
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