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527380 = 22573767
BaseRepresentation
bin10000000110000010100
3222210102121
42000300110
5113334010
615145324
74324360
oct2006024
9883377
10527380
11330257
12215244
13156079
14da2a0
15a63da
hex80c14

527380 has 24 divisors (see below), whose sum is σ = 1266048. Its totient is φ = 180768.

The previous prime is 527377. The next prime is 527381. The reversal of 527380 is 83725.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527381) 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 7 ways as a sum of consecutive naturals, for example, 1744 + ... + 2023.

It is an arithmetic number, because the mean of its divisors is an integer number (52752).

2527380 is an apocalyptic number.

It is an amenable number.

527380 is an abundant number, since it is smaller than the sum of its proper divisors (738668).

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

527380 is a wasteful number, since it uses less digits than its factorization.

527380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 527380 is about 726.2093362110. The cubic root of 527380 is about 80.7931520517.

It can be divided in two parts, 5 and 27380, that multiplied together give a square (136900 = 3702).

The spelling of 527380 in words is "five hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3767 7534 15068 18835 26369 37670 52738 75340 105476 131845 263690 527380