Search a number
-
+
440104420 = 225719915797
BaseRepresentation
bin11010001110110…
…111010111100100
31010200010121202201
4122032313113210
51400131320140
6111400544244
713622553160
oct3216672744
91120117681
10440104420
11206477a68
12103482084
1370243822
1442643ca0
152898649a
hex1a3b75e4

440104420 has 48 divisors (see below), whose sum is σ = 1061625600. Its totient is φ = 150125184.

The previous prime is 440104409. The next prime is 440104451. The reversal of 440104420 is 24401044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19962 + ... + 35758.

It is an arithmetic number, because the mean of its divisors is an integer number (22117200).

Almost surely, 2440104420 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 440104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530812800).

440104420 is an abundant number, since it is smaller than the sum of its proper divisors (621521180).

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

440104420 is a wasteful number, since it uses less digits than its factorization.

440104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16012 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 440104420 is about 20978.6658298377. The cubic root of 440104420 is about 760.6506547109.

Adding to 440104420 its reverse (24401044), we get a palindrome (464505464).

The spelling of 440104420 in words is "four hundred forty million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1990 2786 3980 5572 6965 13930 15797 27860 31594 63188 78985 110579 157970 221158 315940 442316 552895 1105790 2211580 3143603 6287206 12574412 15718015 22005221 31436030 44010442 62872060 88020884 110026105 220052210 440104420