Base | Representation |
---|---|
bin | 111101101110100… |
… | …000011000010000 |
3 | 2200011200000002022 |
4 | 331232200120100 |
5 | 4110103221144 |
6 | 250432311012 |
7 | 34443316064 |
oct | 7556403020 |
9 | 2604600068 |
10 | 1035601424 |
11 | 49162a750 |
12 | 24a9a2468 |
13 | 136723910 |
14 | 9b777aa4 |
15 | 60db4cee |
hex | 3dba0610 |
1035601424 has 80 divisors (see below), whose sum is σ = 2367598464. Its totient is φ = 432614400.
The previous prime is 1035601421. The next prime is 1035601451. The reversal of 1035601424 is 4241065301.
It is a super-3 number, since 3×10356014243 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 1035601393 and 1035601402.
It is not an unprimeable number, because it can be changed into a prime (1035601421) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600884 + ... + 602604.
Almost surely, 21035601424 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 1035601424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183799232).
1035601424 is an abundant number, since it is smaller than the sum of its proper divisors (1331997040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035601424 is a wasteful number, since it uses less digits than its factorization.
1035601424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2016 (or 2010 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 26.
The square root of 1035601424 is about 32180.7617063363. The cubic root of 1035601424 is about 1011.7290332570.
Adding to 1035601424 its reverse (4241065301), we get a palindrome (5276666725).
The spelling of 1035601424 in words is "one billion, thirty-five million, six hundred one thousand, four hundred twenty-four".
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