Base | Representation |
---|---|
bin | 1000001100101001001000 |
3 | 11001011210020 |
4 | 20030221020 |
5 | 1022231221 |
6 | 114020440 |
7 | 24160056 |
oct | 10145110 |
9 | 4034706 |
10 | 2148936 |
11 | 1238589 |
12 | 877720 |
13 | 5a317a |
14 | 3dd1d6 |
15 | 2c6ac6 |
hex | 20ca48 |
2148936 has 64 divisors (see below), whose sum is σ = 5961600. Its totient is φ = 642048.
The previous prime is 2148907. The next prime is 2148947. The reversal of 2148936 is 6398412.
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 2148897 and 2148906.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9270 + ... + 9498.
It is an arithmetic number, because the mean of its divisors is an integer number (93150).
22148936 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 2148936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980800).
2148936 is an abundant number, since it is smaller than the sum of its proper divisors (3812664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2148936 is a wasteful number, since it uses less digits than its factorization.
2148936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 278 (or 274 counting only the distinct ones).
The product of its digits is 10368, while the sum is 33.
The square root of 2148936 is about 1465.9249639733. The cubic root of 2148936 is about 129.0449936193.
The spelling of 2148936 in words is "two million, one hundred forty-eight thousand, nine hundred thirty-six".
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