Search a number
-
+
4174016 = 2672113
BaseRepresentation
bin1111111011000011000000
321212001200012
433323003000
52032032031
6225244052
750323100
oct17730300
97761605
104174016
1123a1000
121493628
13b31b42
147a9200
15576b2b
hex3fb0c0

4174016 has 84 divisors (see below), whose sum is σ = 10597896. Its totient is φ = 1626240.

The previous prime is 4174013. The next prime is 4174021. The reversal of 4174016 is 6104714.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4174016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4173982 and 4174000.

It is not an unprimeable number, because it can be changed into a prime (4174013) 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 11 ways as a sum of consecutive naturals, for example, 379451 + ... + 379461.

Almost surely, 24174016 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 4174016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298948).

4174016 is an abundant number, since it is smaller than the sum of its proper divisors (6423880).

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

4174016 is an equidigital number, since it uses as much as digits as its factorization.

4174016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 4174016 is about 2043.0408708589. The cubic root of 4174016 is about 161.0094512410.

The spelling of 4174016 in words is "four million, one hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 154 176 196 224 242 308 352 392 448 484 539 616 704 784 847 968 1078 1232 1331 1568 1694 1936 2156 2464 2662 3136 3388 3872 4312 4928 5324 5929 6776 7744 8624 9317 10648 11858 13552 17248 18634 21296 23716 27104 34496 37268 42592 47432 54208 65219 74536 85184 94864 130438 149072 189728 260876 298144 379456 521752 596288 1043504 2087008 4174016