Search a number
-
+
4032104240 = 2452310492089
BaseRepresentation
bin1111000001010101…
…0000011100110000
3101102000010010012002
43300111100130300
531224204313430
61504033553132
7201630214643
oct36025203460
911360103162
104032104240
11178a02165a
129464157a8
134c34823c8
142a370da5a
15188eb7845
hexf0550730

4032104240 has 80 divisors (see below), whose sum is σ = 9796248000. Its totient is φ = 1540509696.

The previous prime is 4032104213. The next prime is 4032104257. The reversal of 4032104240 is 424012304.

It is a tau number, because it is divible by the number of its divisors (80).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929116 + ... + 1931204.

It is an arithmetic number, because the mean of its divisors is an integer number (122453100).

Almost surely, 24032104240 is an apocalyptic number.

4032104240 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 4032104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898124000).

4032104240 is an abundant number, since it is smaller than the sum of its proper divisors (5764143760).

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

4032104240 is a wasteful number, since it uses less digits than its factorization.

4032104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4032104240 is about 63498.8522730923. The cubic root of 4032104240 is about 1591.6365992085.

Adding to 4032104240 its reverse (424012304), we get a palindrome (4456116544).

The spelling of 4032104240 in words is "four billion, thirty-two million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1049 1840 2089 2098 4178 4196 5245 8356 8392 10445 10490 16712 16784 20890 20980 24127 33424 41780 41960 48047 48254 83560 83920 96094 96508 120635 167120 192188 193016 240235 241270 384376 386032 480470 482540 768752 960940 965080 1921880 1930160 2191361 3843760 4382722 8765444 10956805 17530888 21913610 35061776 43827220 50401303 87654440 100802606 175308880 201605212 252006515 403210424 504013030 806420848 1008026060 2016052120 4032104240