Search a number
-
+
14130760 = 2357109463
BaseRepresentation
bin110101111001…
…111001001000
3222120220202111
4311321321020
512104141020
61222512104
7231052360
oct65717110
928526674
1014130760
117a81716
124895634
132c09ac7
141c3b9a0
151391d5a
hexd79e48

14130760 has 64 divisors (see below), whose sum is σ = 36748800. Its totient is φ = 4790016.

The previous prime is 14130749. The next prime is 14130793. The reversal of 14130760 is 6703141.

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, 30289 + ... + 30751.

It is an arithmetic number, because the mean of its divisors is an integer number (574200).

Almost surely, 214130760 is an apocalyptic number.

14130760 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 14130760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18374400).

14130760 is an abundant number, since it is smaller than the sum of its proper divisors (22618040).

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

14130760 is a wasteful number, since it uses less digits than its factorization.

14130760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 14130760 is about 3759.0903154886. The cubic root of 14130760 is about 241.7622599759.

The spelling of 14130760 in words is "fourteen million, one hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 463 545 763 872 926 1090 1526 1852 2180 2315 3052 3241 3704 3815 4360 4630 6104 6482 7630 9260 12964 15260 16205 18520 25928 30520 32410 50467 64820 100934 129640 201868 252335 353269 403736 504670 706538 1009340 1413076 1766345 2018680 2826152 3532690 7065380 14130760