Base | Representation |
---|---|
bin | 11001000110011… |
… | …010001000110000 |
3 | 1002100101121202112 |
4 | 121012122020300 |
5 | 1330301012240 |
6 | 105441504452 |
7 | 13302243611 |
oct | 3106321060 |
9 | 1070347675 |
10 | 421110320 |
11 | 1a6784464 |
12 | b9042128 |
13 | 69323207 |
14 | 3dcdbc08 |
15 | 26e83665 |
hex | 1919a230 |
421110320 has 80 divisors (see below), whose sum is σ = 1015247520. Its totient is φ = 162312192.
The previous prime is 421110307. The next prime is 421110329. The reversal of 421110320 is 23011124.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×4211103202 = 354667803221004800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 421110295 and 421110304.
It is not an unprimeable number, because it can be changed into a prime (421110329) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333851 + ... + 335109.
It is an arithmetic number, because the mean of its divisors is an integer number (12690594).
Almost surely, 2421110320 is an apocalyptic number.
421110320 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 421110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507623760).
421110320 is an abundant number, since it is smaller than the sum of its proper divisors (594137200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
421110320 is a wasteful number, since it uses less digits than its factorization.
421110320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1422 (or 1416 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 421110320 is about 20520.9726864981. The cubic root of 421110320 is about 749.5465822346.
Adding to 421110320 its reverse (23011124), we get a palindrome (444121444).
The spelling of 421110320 in words is "four hundred twenty-one million, one hundred ten thousand, three hundred twenty".
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