Search a number
-
+
530600 = 23527379
BaseRepresentation
bin10000001100010101000
3222221211212
42001202220
5113434400
615212252
74336640
oct2014250
9887755
10530600
11332714
12217088
13157685
14db520
15a7335
hex818a8

530600 has 48 divisors (see below), whose sum is σ = 1413600. Its totient is φ = 181440.

The previous prime is 530599. The next prime is 530603. The reversal of 530600 is 6035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a nialpdrome in base 9 and base 14.

It is a zygodrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 530600.

It is not an unprimeable number, because it can be changed into a prime (530603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (29450).

2530600 is an apocalyptic number.

530600 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 530600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706800).

530600 is an abundant number, since it is smaller than the sum of its proper divisors (883000).

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

530600 is a wasteful number, since it uses less digits than its factorization.

530600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 530600 is about 728.4229540590. The cubic root of 530600 is about 80.9572502152.

Adding to 530600 its reverse (6035), we get a palindrome (536635).

The spelling of 530600 in words is "five hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 379 700 758 1400 1516 1895 2653 3032 3790 5306 7580 9475 10612 13265 15160 18950 21224 26530 37900 53060 66325 75800 106120 132650 265300 530600