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529380 = 2232517173
BaseRepresentation
bin10000001001111100100
3222220011200
42001033210
5113420010
615202500
74333245
oct2011744
9886150
10529380
11331805
12216430
13156c57
14daccc
15a6cc0
hex813e4

529380 has 72 divisors (see below), whose sum is σ = 1710072. Its totient is φ = 132096.

The previous prime is 529357. The next prime is 529381. The reversal of 529380 is 83925.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 304704 = 474^2 + 552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (529381) by changing a digit.

529380 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 23 ways as a sum of consecutive naturals, for example, 2974 + ... + 3146.

It is an arithmetic number, because the mean of its divisors is an integer number (23751).

2529380 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 529380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855036).

529380 is an abundant number, since it is smaller than the sum of its proper divisors (1180692).

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

529380 is a wasteful number, since it uses less digits than its factorization.

529380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 529380 is about 727.5850465753. The cubic root of 529380 is about 80.8951547003.

It can be divided in two parts, 529 and 380, that added together give a palindrome (909).

The spelling of 529380 in words is "five hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 173 180 204 255 306 340 346 510 519 612 692 765 865 1020 1038 1530 1557 1730 2076 2595 2941 3060 3114 3460 5190 5882 6228 7785 8823 10380 11764 14705 15570 17646 26469 29410 31140 35292 44115 52938 58820 88230 105876 132345 176460 264690 529380