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541280 = 25517199
BaseRepresentation
bin10000100001001100000
31000111111102
42010021200
5114310110
615333532
74413035
oct2041140
91014442
10541280
1133a743
122212a8
1315c4ac
1410138c
15aa5a5
hex84260

541280 has 48 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 202752.

The previous prime is 541271. The next prime is 541283. The reversal of 541280 is 82145.

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 (541283) by changing a digit.

541280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2621 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2541280 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 541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

541280 is an abundant number, since it is smaller than the sum of its proper divisors (819520).

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

541280 is a wasteful number, since it uses less digits than its factorization.

541280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 541280 is about 735.7173370256. The cubic root of 541280 is about 81.4968194777.

The spelling of 541280 in words is "five hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 199 272 340 398 544 680 796 995 1360 1592 1990 2720 3184 3383 3980 6368 6766 7960 13532 15920 16915 27064 31840 33830 54128 67660 108256 135320 270640 541280