Base | Representation |
---|---|
bin | 1000001000000010011000 |
3 | 11000012220120 |
4 | 20020002120 |
5 | 1021130242 |
6 | 113353240 |
7 | 24051060 |
oct | 10100230 |
9 | 4005816 |
10 | 2130072 |
11 | 122539a |
12 | 868820 |
13 | 5976c9 |
14 | 3d63a0 |
15 | 2c11ec |
hex | 208098 |
2130072 has 64 divisors (see below), whose sum is σ = 6297600. Its totient is φ = 587520.
The previous prime is 2130061. The next prime is 2130101. The reversal of 2130072 is 2700312.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5004 + ... + 5412.
It is an arithmetic number, because the mean of its divisors is an integer number (98400).
22130072 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 2130072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148800).
2130072 is an abundant number, since it is smaller than the sum of its proper divisors (4167528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130072 is a wasteful number, since it uses less digits than its factorization.
2130072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 456 (or 452 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 15.
The square root of 2130072 is about 1459.4766185177. The cubic root of 2130072 is about 128.6662848507. Note that the first 3 decimals are identical.
Adding to 2130072 its reverse (2700312), we get a palindrome (4830384).
The spelling of 2130072 in words is "two million, one hundred thirty thousand, seventy-two".
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