Search a number
-
+
4143040 = 265112107
BaseRepresentation
bin1111110011011111000000
321210111011221
433303133000
52030034130
6224444424
750133556
oct17633700
97714157
104143040
11237a800
121479714
13b20a05
1479bbd6
1556c87a
hex3f37c0

4143040 has 84 divisors (see below), whose sum is σ = 10945368. Its totient is φ = 1492480.

The previous prime is 4143037. The next prime is 4143043. The reversal of 4143040 is 403414.

4143040 = 2472 + 2482 + ... + 3012.

It is an interprime number because it is at equal distance from previous prime (4143037) and next prime (4143043).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143043) by changing a digit.

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, 38667 + ... + 38773.

It is an arithmetic number, because the mean of its divisors is an integer number (130302).

Almost surely, 24143040 is an apocalyptic number.

4143040 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 4143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472684).

4143040 is an abundant number, since it is smaller than the sum of its proper divisors (6802328).

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

4143040 is a wasteful number, since it uses less digits than its factorization.

4143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4143040 is about 2035.4458970948. The cubic root of 4143040 is about 160.6101701197.

Adding to 4143040 its reverse (403414), we get a palindrome (4546454).

The spelling of 4143040 in words is "four million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 107 110 121 160 176 214 220 242 320 352 428 440 484 535 605 704 856 880 968 1070 1177 1210 1712 1760 1936 2140 2354 2420 3424 3520 3872 4280 4708 4840 5885 6848 7744 8560 9416 9680 11770 12947 17120 18832 19360 23540 25894 34240 37664 38720 47080 51788 64735 75328 94160 103576 129470 188320 207152 258940 376640 414304 517880 828608 1035760 2071520 4143040