Base | Representation |
---|---|
bin | 11001010010001… |
… | …111111001101000 |
3 | 1002120020022101002 |
4 | 121102033321220 |
5 | 1332044322440 |
6 | 110032214132 |
7 | 13340521601 |
oct | 3122177150 |
9 | 1076208332 |
10 | 424214120 |
11 | 1a8504390 |
12 | ba09a348 |
13 | 69b6bb95 |
14 | 404a8da8 |
15 | 27398115 |
hex | 1948fe68 |
424214120 has 64 divisors (see below), whose sum is σ = 1060957440. Its totient is φ = 151340800.
The previous prime is 424214113. The next prime is 424214129. The reversal of 424214120 is 21412424.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 424214092 and 424214101.
It is not an unprimeable number, because it can be changed into a prime (424214129) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14225 + ... + 32415.
It is an arithmetic number, because the mean of its divisors is an integer number (16577460).
Almost surely, 2424214120 is an apocalyptic number.
424214120 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 424214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530478720).
424214120 is an abundant number, since it is smaller than the sum of its proper divisors (636743320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424214120 is a wasteful number, since it uses less digits than its factorization.
424214120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18266 (or 18262 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 424214120 is about 20596.4589189501. The cubic root of 424214120 is about 751.3835911829.
Adding to 424214120 its reverse (21412424), we get a palindrome (445626544).
The spelling of 424214120 in words is "four hundred twenty-four million, two hundred fourteen thousand, one hundred twenty".
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