Base | Representation |
---|---|
bin | 1000001000000010000000 |
3 | 11000012212200 |
4 | 20020002000 |
5 | 1021130143 |
6 | 113353200 |
7 | 24051024 |
oct | 10100200 |
9 | 4005780 |
10 | 2130048 |
11 | 1225378 |
12 | 868800 |
13 | 5976ab |
14 | 3d6384 |
15 | 2c11d3 |
hex | 208080 |
2130048 has 72 divisors (see below), whose sum is σ = 6275295. Its totient is φ = 693504.
The previous prime is 2130047. The next prime is 2130061. The reversal of 2130048 is 8400312.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 1065024 + 1065024 = 1032^2 + 1032^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=1032.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 2130048.
It is not an unprimeable number, because it can be changed into a prime (2130047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49515 + ... + 49557.
22130048 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 2130048
2130048 is an abundant number, since it is smaller than the sum of its proper divisors (4145247).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130048 is an equidigital number, since it uses as much as digits as its factorization.
2130048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2130048 is about 1459.4683963690. The cubic root of 2130048 is about 128.6658016115.
Multiplying 2130048 by its sum of digits (18), we get a square (38340864 = 61922).
2130048 divided by its sum of digits (18) gives a square (118336 = 3442).
The spelling of 2130048 in words is "two million, one hundred thirty thousand, forty-eight".
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