Search a number
-
+
4141640 = 235472203
BaseRepresentation
bin1111110011001001001000
321210102021002
433303021020
52030013030
6224434132
750126516
oct17631110
97712232
104141640
112379748
121478948
13b20199
1479b4b6
1556c245
hex3f3248

4141640 has 32 divisors (see below), whose sum is σ = 9521280. Its totient is φ = 1620672.

The previous prime is 4141603. The next prime is 4141663. The reversal of 4141640 is 461414.

It is a happy number.

4141640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 779 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (297540).

Almost surely, 24141640 is an apocalyptic number.

4141640 is a gapful number since it is divisible by the number (40) 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 4141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760640).

4141640 is an abundant number, since it is smaller than the sum of its proper divisors (5379640).

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

4141640 is a wasteful number, since it uses less digits than its factorization.

4141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4141640 is about 2035.1019630476. The cubic root of 4141640 is about 160.5920771598.

The spelling of 4141640 in words is "four million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2203 4406 8812 11015 17624 22030 44060 88120 103541 207082 414164 517705 828328 1035410 2070820 4141640