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541960 = 23517797
BaseRepresentation
bin10000100010100001000
31000112102121
42010110020
5114320320
615341024
74415026
oct2042410
91015377
10541960
11340201
12221774
1315c8b3
14101716
15aa8aa
hex84508

541960 has 32 divisors (see below), whose sum is σ = 1292760. Its totient is φ = 203776.

The previous prime is 541951. The next prime is 541967. The reversal of 541960 is 69145.

541960 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 487204 + 54756 = 698^2 + 234^2 .

It is not an unprimeable number, because it can be changed into a prime (541967) by changing a digit.

541960 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, 282 + ... + 1078.

2541960 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 541960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646380).

541960 is an abundant number, since it is smaller than the sum of its proper divisors (750800).

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

541960 is a wasteful number, since it uses less digits than its factorization.

541960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 541960 is about 736.1793259798. The cubic root of 541960 is about 81.5309328427.

The spelling of 541960 in words is "five hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 797 1594 3188 3985 6376 7970 13549 15940 27098 31880 54196 67745 108392 135490 270980 541960