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541728 = 25341119
BaseRepresentation
bin10000100010000100000
31000112010000
42010100200
5114313403
615340000
74414245
oct2042040
91015100
10541728
11340010
12221600
1315c765
141015cc
15aa7a3
hex84420

541728 has 120 divisors (see below), whose sum is σ = 1829520. Its totient is φ = 155520.

The previous prime is 541727. The next prime is 541759. The reversal of 541728 is 827145.

It can be divided in two parts, 5417 and 28, that added together give a palindrome (5445).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2240) is a multiple of the sum of its prime divisors (35).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541728.

It is not an unprimeable number, because it can be changed into a prime (541721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28503 + ... + 28521.

It is an arithmetic number, because the mean of its divisors is an integer number (15246).

2541728 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 541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914760).

541728 is an abundant number, since it is smaller than the sum of its proper divisors (1287792).

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

541728 is a wasteful number, since it uses less digits than its factorization.

541728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 541728 is about 736.0217388094. The cubic root of 541728 is about 81.5192973738.

The spelling of 541728 in words is "five hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 66 72 76 81 88 96 99 108 114 132 144 152 162 171 176 198 209 216 228 264 288 297 304 324 342 352 396 418 432 456 513 528 594 608 627 648 684 792 836 864 891 912 1026 1056 1188 1254 1296 1368 1539 1584 1672 1782 1824 1881 2052 2376 2508 2592 2736 3078 3168 3344 3564 3762 4104 4752 5016 5472 5643 6156 6688 7128 7524 8208 9504 10032 11286 12312 14256 15048 16416 16929 20064 22572 24624 28512 30096 33858 45144 49248 60192 67716 90288 135432 180576 270864 541728