Base | Representation |
---|---|
bin | 1000000111000000110000 |
3 | 11000000011000 |
4 | 20013000300 |
5 | 1021011442 |
6 | 113322000 |
7 | 24032610 |
oct | 10070060 |
9 | 4000130 |
10 | 2125872 |
11 | 1222221 |
12 | 866300 |
13 | 595818 |
14 | 3d4a40 |
15 | 2bed4c |
hex | 207030 |
2125872 has 160 divisors (see below), whose sum is σ = 7539200. Its totient is φ = 559872.
The previous prime is 2125847. The next prime is 2125873. The reversal of 2125872 is 2785212.
2125872 is nontrivially palindromic in base 11.
It is a super-3 number, since 3×21258723 = 28822562544333164544, which contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an alternating number because its digits alternate between even and odd.
Its product of digits (2240) is a multiple of the sum of its prime factors (80).
It is a nialpdrome in base 12.
It is a zygodrome in base 3 and base 6.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2125873) 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, 57438 + ... + 57474.
It is an arithmetic number, because the mean of its divisors is an integer number (47120).
22125872 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 2125872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769600).
2125872 is an abundant number, since it is smaller than the sum of its proper divisors (5413328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2125872 is a wasteful number, since it uses less digits than its factorization.
2125872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80 (or 68 counting only the distinct ones).
The product of its digits is 2240, while the sum is 27.
The square root of 2125872 is about 1458.0370365666. The cubic root of 2125872 is about 128.5816626774.
It can be divided in two parts, 212 and 5872, that added together give a square (6084 = 782).
The spelling of 2125872 in words is "two million, one hundred twenty-five thousand, eight hundred seventy-two".
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