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527340 = 2235111747
BaseRepresentation
bin10000000101111101100
3222210101010
42000233230
5113333330
615145220
74324302
oct2005754
9883333
10527340
11330220
12215210
13156048
14da272
15a63b0
hex80bec

527340 has 96 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 117760.

The previous prime is 527333. The next prime is 527347. The reversal of 527340 is 43725.

It is a happy number.

527340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (527333) and next prime (527347).

It is a nialpdrome in base 9.

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 (527347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11197 + ... + 11243.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2527340 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 527340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

527340 is an abundant number, since it is smaller than the sum of its proper divisors (1214484).

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

527340 is a wasteful number, since it uses less digits than its factorization.

527340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 527340 is about 726.1817954204. The cubic root of 527340 is about 80.7911093704.

The spelling of 527340 in words is "five hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 47 51 55 60 66 68 85 94 102 110 132 141 165 170 187 188 204 220 235 255 282 330 340 374 470 510 517 561 564 660 705 748 799 935 940 1020 1034 1122 1410 1551 1598 1870 2068 2244 2397 2585 2805 2820 3102 3196 3740 3995 4794 5170 5610 6204 7755 7990 8789 9588 10340 11220 11985 15510 15980 17578 23970 26367 31020 35156 43945 47940 52734 87890 105468 131835 175780 263670 527340