Search a number
-
+
560340 = 2232511283
BaseRepresentation
bin10001000110011010100
31001110122100
42020303110
5120412330
620002100
74522434
oct2106324
91043570
10560340
11352aa0
12230330
13168081
141082c4
15b1060
hex88cd4

560340 has 72 divisors (see below), whose sum is σ = 1860768. Its totient is φ = 135360.

The previous prime is 560317. The next prime is 560341. The reversal of 560340 is 43065.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (25844).

2560340 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 560340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930384).

560340 is an abundant number, since it is smaller than the sum of its proper divisors (1300428).

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

560340 is a wasteful number, since it uses less digits than its factorization.

560340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 560340 is about 748.5586149394. The cubic root of 560340 is about 82.4423840142.

It can be divided in two parts, 560 and 340, that added together give a square (900 = 302).

The spelling of 560340 in words is "five hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 283 330 396 495 566 660 849 990 1132 1415 1698 1980 2547 2830 3113 3396 4245 5094 5660 6226 8490 9339 10188 12452 12735 15565 16980 18678 25470 28017 31130 37356 46695 50940 56034 62260 93390 112068 140085 186780 280170 560340