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530820 = 22335983
BaseRepresentation
bin10000001100110000100
3222222011000
42001212010
5113441240
615213300
74340403
oct2014604
9888130
10530820
113328a4
12217230
131577c4
14db63a
15a7430
hex81984

530820 has 48 divisors (see below), whose sum is σ = 1653120. Its totient is φ = 141408.

The previous prime is 530807. The next prime is 530833. The reversal of 530820 is 28035.

It is an interprime number because it is at equal distance from previous prime (530807) and next prime (530833).

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

It is an Ulam number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 530793 and 530802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 530820.

It is an unprimeable number.

530820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

2530820 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 530820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826560).

530820 is an abundant number, since it is smaller than the sum of its proper divisors (1122300).

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

530820 is a wasteful number, since it uses less digits than its factorization.

530820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 530820 is about 728.5739495755. The cubic root of 530820 is about 80.9684376345.

Adding to 530820 its reverse (28035), we get a palindrome (558855).

The spelling of 530820 in words is "five hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 983 1966 2949 3932 4915 5898 8847 9830 11796 14745 17694 19660 26541 29490 35388 44235 53082 58980 88470 106164 132705 176940 265410 530820