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4114040 = 235722099
BaseRepresentation
bin1111101100011001111000
321202000101212
433230121320
52023122130
6224102252
746653200
oct17543170
97660355
104114040
11235aa37
121464988
13b10758
14791400
15563e95
hex3ec678

4114040 has 48 divisors (see below), whose sum is σ = 10773000. Its totient is φ = 1409856.

The previous prime is 4114021. The next prime is 4114057. The reversal of 4114040 is 404114.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 911 + ... + 3009.

Almost surely, 24114040 is an apocalyptic number.

4114040 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 4114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386500).

4114040 is an abundant number, since it is smaller than the sum of its proper divisors (6658960).

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

4114040 is a wasteful number, since it uses less digits than its factorization.

4114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4114040 is about 2028.3096410558. The cubic root of 4114040 is about 160.2345518243.

Adding to 4114040 its reverse (404114), we get a palindrome (4518154).

The spelling of 4114040 in words is "four million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2099 4198 8396 10495 14693 16792 20990 29386 41980 58772 73465 83960 102851 117544 146930 205702 293860 411404 514255 587720 822808 1028510 2057020 4114040