Search a number
-
+
1300243420 = 225722945751
BaseRepresentation
bin100110110000000…
…0010001111011100
310100121122012122201
41031200002033130
510130330242140
6333004421244
744135613100
oct11540021734
93317565581
101300243420
11607a54143
12303547824
131794c1a08
14c4985900
157923c49a
hex4d8023dc

1300243420 has 72 divisors (see below), whose sum is σ = 3285908640. Its totient is φ = 430416000.

The previous prime is 1300243409. The next prime is 1300243421. The reversal of 1300243420 is 243420031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300243421) 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 23 ways as a sum of consecutive naturals, for example, 5545 + ... + 51295.

It is an arithmetic number, because the mean of its divisors is an integer number (45637620).

Almost surely, 21300243420 is an apocalyptic number.

1300243420 is a gapful number since it is divisible by the number (10) 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 1300243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642954320).

1300243420 is an abundant number, since it is smaller than the sum of its proper divisors (1985665220).

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

1300243420 is a wasteful number, since it uses less digits than its factorization.

1300243420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45803 (or 45794 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1300243420 is about 36058.8882246805. Note that the first 3 decimals coincide. The cubic root of 1300243420 is about 1091.4609985164.

Adding to 1300243420 its reverse (243420031), we get a palindrome (1543663451).

The spelling of 1300243420 in words is "one billion, three hundred million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 28420 45751 91502 183004 228755 320257 457510 640514 915020 1281028 1326779 1601285 2241799 2653558 3202570 4483598 5307116 6405140 6633895 8967196 9287453 11208995 13267790 18574906 22417990 26535580 37149812 44835980 46437265 65012171 92874530 130024342 185749060 260048684 325060855 650121710 1300243420