Base | Representation |
---|---|
bin | 1000001000001000001000 |
3 | 11000020102012 |
4 | 20020020020 |
5 | 1021133230 |
6 | 113355052 |
7 | 24052124 |
oct | 10101010 |
9 | 4006365 |
10 | 2130440 |
11 | 12256a4 |
12 | 868a88 |
13 | 597920 |
14 | 3d6584 |
15 | 2c1395 |
hex | 208208 |
2130440 has 64 divisors (see below), whose sum is σ = 5488560. Its totient is φ = 737280.
The previous prime is 2130439. The next prime is 2130461. The reversal of 2130440 is 440312.
2130440 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.
It can be written as a sum of positive squares in 8 ways, for example, as 1094116 + 1036324 = 1046^2 + 1018^2 .
2130440 is an undulating number in base 8.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8720 + ... + 8960.
22130440 is an apocalyptic number.
2130440 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 2130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280).
2130440 is an abundant number, since it is smaller than the sum of its proper divisors (3358120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130440 is a wasteful number, since it uses less digits than its factorization.
2130440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 282 (or 278 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 2130440 is about 1459.6026856648. The cubic root of 2130440 is about 128.6736940629.
Adding to 2130440 its reverse (440312), we get a palindrome (2570752).
The spelling of 2130440 in words is "two million, one hundred thirty thousand, four hundred forty".
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