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530100 = 2232521931
BaseRepresentation
bin10000001011010110100
3222221011100
42001122310
5113430400
615210100
74335324
oct2013264
9887140
10530100
113322aa
12216930
1315738c
14db284
15a7100
hex816b4

530100 has 108 divisors (see below), whose sum is σ = 1805440. Its totient is φ = 129600.

The previous prime is 530093. The next prime is 530129. The reversal of 530100 is 1035.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a zygodrome in base 11.

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 530100.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17085 + ... + 17115.

2530100 is an apocalyptic number.

530100 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 530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902720).

530100 is an abundant number, since it is smaller than the sum of its proper divisors (1275340).

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

530100 is a wasteful number, since it uses less digits than its factorization.

530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 530100 is about 728.0796659707. The cubic root of 530100 is about 80.9318127566.

Adding to 530100 its reverse (1035), we get a palindrome (531135).

It can be divided in two parts, 530 and 100, that added together give a triangular number (630 = T35).

The spelling of 530100 in words is "five hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 31 36 38 45 50 57 60 62 75 76 90 93 95 100 114 124 150 155 171 180 186 190 225 228 279 285 300 310 342 372 380 450 465 475 558 570 589 620 684 775 855 900 930 950 1116 1140 1178 1395 1425 1550 1710 1767 1860 1900 2325 2356 2790 2850 2945 3100 3420 3534 4275 4650 5301 5580 5700 5890 6975 7068 8550 8835 9300 10602 11780 13950 14725 17100 17670 21204 26505 27900 29450 35340 44175 53010 58900 88350 106020 132525 176700 265050 530100