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4130816 = 2112017
BaseRepresentation
bin1111110000100000000000
321202212102012
433300200000
52024141231
6224312052
750053124
oct17604000
97685365
104130816
1123715a8
121472628
13b18291
14797584
15568e2b
hex3f0800

4130816 has 24 divisors (see below), whose sum is σ = 8263710. Its totient is φ = 2064384.

The previous prime is 4130807. The next prime is 4130837. The reversal of 4130816 is 6180314.

It can be written as a sum of positive squares in only one way, i.e., 2876416 + 1254400 = 1696^2 + 1120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4130791 and 4130800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1040 + ... + 3056.

Almost surely, 24130816 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 4130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131855).

4130816 is an abundant number, since it is smaller than the sum of its proper divisors (4132894).

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

4130816 is an equidigital number, since it uses as much as digits as its factorization.

4130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 4130816 is about 2032.4408970497. The cubic root of 4130816 is about 160.4520549202.

The spelling of 4130816 in words is "four million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2017 2048 4034 8068 16136 32272 64544 129088 258176 516352 1032704 2065408 4130816