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4130832 = 243412099
BaseRepresentation
bin1111110000100000010000
321202212102210
433300200100
52024141312
6224312120
750053146
oct17604020
97685383
104130832
112371612
121472640
13b182a4
14797596
15568e3c
hex3f0810

4130832 has 40 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 1342720.

The previous prime is 4130807. The next prime is 4130837. The reversal of 4130832 is 2380314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4130799 and 4130808.

It is not an unprimeable number, because it can be changed into a prime (4130837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919 + ... + 3017.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 24130832 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 4130832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

4130832 is an abundant number, since it is smaller than the sum of its proper divisors (6805968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4130832 is a wasteful number, since it uses less digits than its factorization.

4130832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4130832 is about 2032.4448331997. Note that the first 3 decimals coincide. The cubic root of 4130832 is about 160.4522620810.

The spelling of 4130832 in words is "four million, one hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 2099 4198 6297 8396 12594 16792 25188 33584 50376 86059 100752 172118 258177 344236 516354 688472 1032708 1376944 2065416 4130832