Base | Representation |
---|---|
bin | 100001101111111… |
… | …1011100110000000 |
3 | 2220220220010011120 |
4 | 1003133323212000 |
5 | 4304401202112 |
6 | 304212112240 |
7 | 40030421046 |
oct | 10337734600 |
9 | 2826803146 |
10 | 1132444032 |
11 | 531264a65 |
12 | 277305680 |
13 | 150800235 |
14 | aa586396 |
15 | 69643e8c |
hex | 437fb980 |
1132444032 has 64 divisors (see below), whose sum is σ = 3044381760. Its totient is φ = 372922880.
The previous prime is 1132444021. The next prime is 1132444051. The reversal of 1132444032 is 2304442311.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×11324440322 = 2564858971224834048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1132443993 and 1132444011.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14107 + ... + 49637.
It is an arithmetic number, because the mean of its divisors is an integer number (47568465).
Almost surely, 21132444032 is an apocalyptic number.
1132444032 is a gapful number since it is divisible by the number (12) 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 1132444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522190880).
1132444032 is an abundant number, since it is smaller than the sum of its proper divisors (1911937728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1132444032 is an equidigital number, since it uses as much as digits as its factorization.
1132444032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35631 (or 35619 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 1132444032 is about 33651.8057762136. The cubic root of 1132444032 is about 1042.3308275196.
Adding to 1132444032 its reverse (2304442311), we get a palindrome (3436886343).
The spelling of 1132444032 in words is "one billion, one hundred thirty-two million, four hundred forty-four thousand, thirty-two".
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