Base | Representation |
---|---|
bin | 11001010110101… |
… | …01000010001100 |
3 | 112211012111220000 |
4 | 30223111002030 |
5 | 413421404230 |
6 | 33034324300 |
7 | 5161535466 |
oct | 1453250214 |
9 | 484174800 |
10 | 212684940 |
11 | aa067386 |
12 | 5b289690 |
13 | 350a8ca0 |
14 | 20365136 |
15 | 13a12b60 |
hex | cad508c |
212684940 has 120 divisors (see below), whose sum is σ = 718594800. Its totient is φ = 52348032.
The previous prime is 212684921. The next prime is 212684947. The reversal of 212684940 is 49486212.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 212684895 and 212684904.
It is not an unprimeable number, because it can be changed into a prime (212684947) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16011 + ... + 26109.
It is an arithmetic number, because the mean of its divisors is an integer number (5988290).
Almost surely, 2212684940 is an apocalyptic number.
212684940 is a gapful number since it is divisible by the number (20) 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 212684940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359297400).
212684940 is an abundant number, since it is smaller than the sum of its proper divisors (505909860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212684940 is a wasteful number, since it uses less digits than its factorization.
212684940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10133 (or 10122 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 212684940 is about 14583.7217472084. The cubic root of 212684940 is about 596.9146616737.
The spelling of 212684940 in words is "two hundred twelve million, six hundred eighty-four thousand, nine hundred forty".
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