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540320 = 25511307
BaseRepresentation
bin10000011111010100000
31000110011212
42003322200
5114242240
615325252
74410164
oct2037240
91013155
10540320
11339a50
12220828
1315bc21
14100ca4
15aa165
hex83ea0

540320 has 48 divisors (see below), whose sum is σ = 1397088. Its totient is φ = 195840.

The previous prime is 540307. The next prime is 540343. The reversal of 540320 is 23045.

It is a junction number, because it is equal to n+sod(n) for n = 540295 and 540304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1607 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (29106).

2540320 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 540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698544).

540320 is an abundant number, since it is smaller than the sum of its proper divisors (856768).

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

540320 is a wasteful number, since it uses less digits than its factorization.

540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 540320 is about 735.0646230094. The cubic root of 540320 is about 81.4486107593.

Adding to 540320 its reverse (23045), we get a palindrome (563365).

The spelling of 540320 in words is "five hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 307 352 440 614 880 1228 1535 1760 2456 3070 3377 4912 6140 6754 9824 12280 13508 16885 24560 27016 33770 49120 54032 67540 108064 135080 270160 540320