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530712 = 2336713
BaseRepresentation
bin10000001100100011000
3222222000000
42001210120
5113440322
615213000
74340160
oct2014430
9888000
10530712
11332806
12217160
13157740
14db5a0
15a73ac
hex81918

530712 has 112 divisors (see below), whose sum is σ = 1836240. Its totient is φ = 139968.

The previous prime is 530711. The next prime is 530713. The reversal of 530712 is 217035.

530712 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (530711) and next prime (530713).

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 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530711) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40818 + ... + 40830.

It is an arithmetic number, because the mean of its divisors is an integer number (16395).

2530712 is an apocalyptic number.

530712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is a pronic number, being equal to 728×729.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918120).

530712 is an abundant number, since it is smaller than the sum of its proper divisors (1305528).

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

530712 is a wasteful number, since it uses less digits than its factorization.

530712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 530712 is about 728.4998284145. The cubic root of 530712 is about 80.9629460150.

Adding to 530712 its reverse (217035), we get a palindrome (747747).

The spelling of 530712 in words is "five hundred thirty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 243 252 273 312 324 351 364 378 468 486 504 546 567 648 702 728 729 756 819 936 972 1053 1092 1134 1404 1458 1512 1638 1701 1944 2106 2184 2268 2457 2808 2916 3159 3276 3402 4212 4536 4914 5103 5832 6318 6552 6804 7371 8424 9477 9828 10206 12636 13608 14742 18954 19656 20412 22113 25272 29484 37908 40824 44226 58968 66339 75816 88452 132678 176904 265356 530712