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527060 = 22519273
BaseRepresentation
bin10000000101011010100
3222202222202
42000223110
5113331220
615144032
74323422
oct2005324
9882882
10527060
1132aa96
12215018
13155b91
14da112
15a6275
hex80ad4

527060 has 36 divisors (see below), whose sum is σ = 1184148. Its totient is φ = 196992.

The previous prime is 527057. The next prime is 527063. The reversal of 527060 is 60725.

It is an interprime number because it is at equal distance from previous prime (527057) and next prime (527063).

It can be written as a sum of positive squares in 2 ways, for example, as 244036 + 283024 = 494^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7184 + ... + 7256.

It is an arithmetic number, because the mean of its divisors is an integer number (32893).

2527060 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 527060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592074).

527060 is an abundant number, since it is smaller than the sum of its proper divisors (657088).

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

527060 is a wasteful number, since it uses less digits than its factorization.

527060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 527060 is about 725.9889806326. The cubic root of 527060 is about 80.7768077083.

Adding to 527060 its reverse (60725), we get a palindrome (587785).

The spelling of 527060 in words is "five hundred twenty-seven thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 361 365 380 722 730 1387 1444 1460 1805 2774 3610 5548 6935 7220 13870 26353 27740 52706 105412 131765 263530 527060