Base | Representation |
---|---|
bin | 100000100000011… |
… | …0111011011000000 |
3 | 2211000102122021210 |
4 | 1001000313123000 |
5 | 4213212333143 |
6 | 300122250120 |
7 | 36013121430 |
oct | 10100673300 |
9 | 2730378253 |
10 | 1090746048 |
11 | 50a774717 |
12 | 265356940 |
13 | 144c90882 |
14 | a4c102c0 |
15 | 65b59033 |
hex | 410376c0 |
1090746048 has 112 divisors (see below), whose sum is σ = 3340282880. Its totient is φ = 307666944.
The previous prime is 1090746047. The next prime is 1090746079. The reversal of 1090746048 is 8406470901.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
It is a junction number, because it is equal to n+sod(n) for n = 1090745997 and 1090746015.
It is not an unprimeable number, because it can be changed into a prime (1090746047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101040 + ... + 111312.
Almost surely, 21090746048 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 1090746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670141440).
1090746048 is an abundant number, since it is smaller than the sum of its proper divisors (2249536832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1090746048 is a wasteful number, since it uses less digits than its factorization.
1090746048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10374 (or 10364 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 39.
The square root of 1090746048 is about 33026.4446769555. Note that the first 3 decimals coincide. The cubic root of 1090746048 is about 1029.3772110898.
The spelling of 1090746048 in words is "one billion, ninety million, seven hundred forty-six thousand, forty-eight".
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