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526380 = 223531283
BaseRepresentation
bin10000000100000101100
3222202001120
42000200230
5113321010
615140540
74321431
oct2004054
9882046
10526380
1132a528
12214750
1315578a
14d9b88
15a5e70
hex8082c

526380 has 48 divisors (see below), whose sum is σ = 1526784. Its totient is φ = 135360.

The previous prime is 526373. The next prime is 526381. The reversal of 526380 is 83625.

526380 = 1152 + 1162 + ... + 1452.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 526380.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 526380.

It is not an unprimeable number, because it can be changed into a prime (526381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719 + ... + 2001.

It is an arithmetic number, because the mean of its divisors is an integer number (31808).

2526380 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 526380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763392).

526380 is an abundant number, since it is smaller than the sum of its proper divisors (1000404).

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

526380 is a wasteful number, since it uses less digits than its factorization.

526380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 526380 is about 725.5205028116. The cubic root of 526380 is about 80.7420539999.

The spelling of 526380 in words is "five hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 283 310 372 465 566 620 849 930 1132 1415 1698 1860 2830 3396 4245 5660 8490 8773 16980 17546 26319 35092 43865 52638 87730 105276 131595 175460 263190 526380