Search a number
-
+
561830500 = 225371114593
BaseRepresentation
bin100001011111001…
…101101001100100
31110011011221120001
4201133031221210
52122312034000
6131425551044
716631323540
oct4137155144
91404157501
10561830500
11269158630
121381a5484
138c5232aa
145488ca20
15344cd46a
hex217cda64

561830500 has 96 divisors (see below), whose sum is σ = 1529918208. Its totient is φ = 175104000.

The previous prime is 561830483. The next prime is 561830537. The reversal of 561830500 is 5038165.

561830500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31204 + ... + 45796.

It is an arithmetic number, because the mean of its divisors is an integer number (15936648).

Almost surely, 2561830500 is an apocalyptic number.

561830500 is a gapful number since it is divisible by the number (50) 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 561830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764959104).

561830500 is an abundant number, since it is smaller than the sum of its proper divisors (968087708).

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

561830500 is a wasteful number, since it uses less digits than its factorization.

561830500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14630 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 561830500 is about 23702.9639496836. The cubic root of 561830500 is about 825.1541799385.

Adding to 561830500 its reverse (5038165), we get a palindrome (566868665).

It can be divided in two parts, 561830 and 500, that added together give a triangular number (562330 = T1060).

The spelling of 561830500 in words is "five hundred sixty-one million, eight hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 125 140 154 175 220 250 275 308 350 385 500 550 700 770 875 1100 1375 1540 1750 1925 2750 3500 3850 5500 7700 9625 14593 19250 29186 38500 58372 72965 102151 145930 160523 204302 291860 321046 364825 408604 510755 642092 729650 802615 1021510 1123661 1459300 1605230 1824125 2043020 2247322 2553775 3210460 3648250 4013075 4494644 5107550 5618305 7296500 8026150 10215100 11236610 12768875 16052300 20065375 22473220 25537750 28091525 40130750 51075500 56183050 80261500 112366100 140457625 280915250 561830500