Base | Representation |
---|---|
bin | 100001011110000… |
… | …0011110001000000 |
3 | 2220021012100200221 |
4 | 1002330003301000 |
5 | 4244444242240 |
6 | 303234352424 |
7 | 36554454013 |
oct | 10274036100 |
9 | 2807170627 |
10 | 1123040320 |
11 | 526a218a6 |
12 | 27412b714 |
13 | 14b889bcc |
14 | a921937a |
15 | 688d7a4a |
hex | 42f03c40 |
1123040320 has 112 divisors (see below), whose sum is σ = 2844149760. Its totient is φ = 421431296.
The previous prime is 1123040291. The next prime is 1123040327. The reversal of 1123040320 is 230403211.
It is a happy number.
It is a super-2 number, since 2×11230403202 = 2522439120691404800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 1123040294 and 1123040303.
It is not an unprimeable number, because it can be changed into a prime (1123040327) 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, 388641 + ... + 391519.
Almost surely, 21123040320 is an apocalyptic number.
1123040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1123040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422074880).
1123040320 is an abundant number, since it is smaller than the sum of its proper divisors (1721109440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1123040320 is a wasteful number, since it uses less digits than its factorization.
1123040320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2972 (or 2962 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 1123040320 is about 33511.7937448893. The cubic root of 1123040320 is about 1039.4376644377.
Adding to 1123040320 its reverse (230403211), we get a palindrome (1353443531).
It can be divided in two parts, 1 and 123040320, that added together give a palindrome (123040321).
The spelling of 1123040320 in words is "one billion, one hundred twenty-three million, forty thousand, three hundred twenty".
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