Base | Representation |
---|---|
bin | 11001000011001… |
… | …01100111100000 |
3 | 112122101210010100 |
4 | 30201211213200 |
5 | 412243201144 |
6 | 32503502400 |
7 | 5131042026 |
oct | 1441454740 |
9 | 478353110 |
10 | 210131424 |
11 | a8682938 |
12 | 5a457a00 |
13 | 346c3929 |
14 | 1dc9c716 |
15 | 136ab269 |
hex | c8659e0 |
210131424 has 144 divisors (see below), whose sum is σ = 638977248. Its totient is φ = 65273856.
The previous prime is 210131417. The next prime is 210131459. The reversal of 210131424 is 424131012.
210131424 is a `hidden beast` number, since 210 + 1 + 31 + 424 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 210131397 and 210131406.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817504 + ... + 817760.
It is an arithmetic number, because the mean of its divisors is an integer number (4437342).
Almost surely, 2210131424 is an apocalyptic number.
210131424 is a gapful number since it is divisible by the number (24) 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 210131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319488624).
210131424 is an abundant number, since it is smaller than the sum of its proper divisors (428845824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210131424 is a wasteful number, since it uses less digits than its factorization.
210131424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 457 (or 446 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 210131424 is about 14495.9105957508. The cubic root of 210131424 is about 594.5161652914.
Adding to 210131424 its reverse (424131012), we get a palindrome (634262436).
The spelling of 210131424 in words is "two hundred ten million, one hundred thirty-one thousand, four hundred twenty-four".
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