Base | Representation |
---|---|
bin | 100110010000… |
… | …000011001100 |
3 | 200212102202020 |
4 | 212100003030 |
5 | 10031332322 |
6 | 554530140 |
7 | 151141566 |
oct | 46200314 |
9 | 20772666 |
10 | 10027212 |
11 | 5729658 |
12 | 3436950 |
13 | 2101080 |
14 | 1490336 |
15 | d3105c |
hex | 9900cc |
10027212 has 96 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 2737152.
The previous prime is 10027189. The next prime is 10027217. The reversal of 10027212 is 21272001.
It is a zygodrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 10027191 and 10027200.
It is not an unprimeable number, because it can be changed into a prime (10027217) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50289 + ... + 50487.
It is an arithmetic number, because the mean of its divisors is an integer number (294000).
Almost surely, 210027212 is an apocalyptic number.
10027212 is a gapful number since it is divisible by the number (12) 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 10027212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).
10027212 is an abundant number, since it is smaller than the sum of its proper divisors (18196788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10027212 is a wasteful number, since it uses less digits than its factorization.
10027212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 255 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 15.
The square root of 10027212 is about 3166.5773320732. The cubic root of 10027212 is about 215.6387135996.
Adding to 10027212 its reverse (21272001), we get a palindrome (31299213).
The spelling of 10027212 in words is "ten million, twenty-seven thousand, two hundred twelve".
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