Search a number
-
+
1309280 = 25572167
BaseRepresentation
bin100111111101001100000
32110111222212
410333221200
5313344110
644021252
714062100
oct4775140
92414885
101309280
11814755
12531828
1336ac2b
14261200
151ace05
hex13fa60

1309280 has 72 divisors (see below), whose sum is σ = 3619728. Its totient is φ = 446208.

The previous prime is 1309249. The next prime is 1309283. The reversal of 1309280 is 829031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7757 + ... + 7923.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

21309280 is an apocalyptic number.

1309280 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 1309280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809864).

1309280 is an abundant number, since it is smaller than the sum of its proper divisors (2310448).

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

1309280 is a wasteful number, since it uses less digits than its factorization.

1309280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1309280 is about 1144.2377375353. The cubic root of 1309280 is about 109.3983683403.

Subtracting from 1309280 its reverse (829031), we obtain a square (480249 = 6932).

The spelling of 1309280 in words is "one million, three hundred nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 167 196 224 245 280 334 392 490 560 668 784 835 980 1120 1169 1336 1568 1670 1960 2338 2672 3340 3920 4676 5344 5845 6680 7840 8183 9352 11690 13360 16366 18704 23380 26720 32732 37408 40915 46760 65464 81830 93520 130928 163660 187040 261856 327320 654640 1309280