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541020 = 223571127
BaseRepresentation
bin10000100000101011100
31000111010210
42010011130
5114303040
615332420
74412214
oct2040534
91014123
10541020
1133a527
12221110
1315c33c
14101244
15aa480
hex8415c

541020 has 48 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 141120.

The previous prime is 541007. The next prime is 541027. The reversal of 541020 is 20145.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 540987 and 541005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541027) by changing a digit.

541020 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4197 + ... + 4323.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2541020 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 541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144).

541020 is an abundant number, since it is smaller than the sum of its proper divisors (1007268).

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

541020 is a wasteful number, since it uses less digits than its factorization.

541020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 541020 is about 735.5406175052. The cubic root of 541020 is about 81.4837685819.

Adding to 541020 its reverse (20145), we get a palindrome (561165).

The spelling of 541020 in words is "five hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 127 142 213 254 284 355 381 426 508 635 710 762 852 1065 1270 1420 1524 1905 2130 2540 3810 4260 7620 9017 18034 27051 36068 45085 54102 90170 108204 135255 180340 270510 541020