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4027140 = 22325131721
BaseRepresentation
bin1111010111001100000100
321120121012100
433113030010
52012332030
6222152100
746141635
oct17271404
97517170
104027140
112300717
121422630
13ab0030
1476b88c
15548360
hex3d7304

4027140 has 72 divisors (see below), whose sum is σ = 13162968. Its totient is φ = 990720.

The previous prime is 4027129. The next prime is 4027141. The reversal of 4027140 is 417204.

It is a happy number.

4027140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 3779136 = 498^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4027141) 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 23 ways as a sum of consecutive naturals, for example, 1480 + ... + 3200.

It is an arithmetic number, because the mean of its divisors is an integer number (182819).

Almost surely, 24027140 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 4027140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581484).

4027140 is an abundant number, since it is smaller than the sum of its proper divisors (9135828).

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

4027140 is a wasteful number, since it uses less digits than its factorization.

4027140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4027140 is about 2006.7735298234. The cubic root of 4027140 is about 159.0983134711.

The spelling of 4027140 in words is "four million, twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1721 2340 3442 5163 6884 8605 10326 15489 17210 20652 22373 25815 30978 34420 44746 51630 61956 67119 77445 89492 103260 111865 134238 154890 201357 223730 268476 309780 335595 402714 447460 671190 805428 1006785 1342380 2013570 4027140