Search a number
-
+
7143444 = 2233711859
BaseRepresentation
bin11011010000000000010100
3111102220222000
4123100000110
53312042234
6413035300
7114501240
oct33200024
914386860
107143444
114039a80
122485b30
1316315b9
14d3d420
15961899
hex6d0014

7143444 has 96 divisors (see below), whose sum is σ = 23116800. Its totient is φ = 1853280.

The previous prime is 7143443. The next prime is 7143457. The reversal of 7143444 is 4443417.

It is a super-2 number, since 2×71434442 = 102057584362272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7143443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7887 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (240800).

Almost surely, 27143444 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 7143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558400).

7143444 is an abundant number, since it is smaller than the sum of its proper divisors (15973356).

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

7143444 is a wasteful number, since it uses less digits than its factorization.

7143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 7143444 is about 2672.7222077874. The cubic root of 7143444 is about 192.5909526908.

Subtracting from 7143444 its sum of digits (27), we obtain a palindrome (7143417).

The spelling of 7143444 in words is "seven million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 859 924 1188 1386 1718 2079 2577 2772 3436 4158 5154 6013 7731 8316 9449 10308 12026 15462 18039 18898 23193 24052 28347 30924 36078 37796 46386 54117 56694 66143 72156 85041 92772 108234 113388 132286 162351 170082 198429 216468 255123 264572 324702 340164 396858 510246 595287 649404 793716 1020492 1190574 1785861 2381148 3571722 7143444