Base | Representation |
---|---|
bin | 111011100010… |
… | …0101000000000 |
3 | 2011201211200001 |
4 | 1313010220000 |
5 | 30442322310 |
6 | 3033005344 |
7 | 526213102 |
oct | 167045000 |
9 | 64654601 |
10 | 31214080 |
11 | 1668a667 |
12 | a553854 |
13 | 660b791 |
14 | 4207572 |
15 | 2b1893a |
hex | 1dc4a00 |
31214080 has 80 divisors (see below), whose sum is σ = 76233960. Its totient is φ = 12255232.
The previous prime is 31214069. The next prime is 31214081. The reversal of 31214080 is 8041213.
It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 9535744 = 4656^2 + 3088^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (31214081) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227772 + ... + 227908.
Almost surely, 231214080 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 31214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38116980).
31214080 is an abundant number, since it is smaller than the sum of its proper divisors (45019880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31214080 is an equidigital number, since it uses as much as digits as its factorization.
31214080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 249 (or 233 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 19.
The square root of 31214080 is about 5586.9562375233. The cubic root of 31214080 is about 314.8595325670.
Adding to 31214080 its reverse (8041213), we get a palindrome (39255293).
The spelling of 31214080 in words is "thirty-one million, two hundred fourteen thousand, eighty".
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