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541140 = 223529311
BaseRepresentation
bin10000100000111010100
31000111022020
42010013110
5114304030
615333140
74412445
oct2040724
91014266
10541140
1133a626
122211b0
1315c402
141012cc
15aa510
hex841d4

541140 has 48 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 138880.

The previous prime is 541133. The next prime is 541141. The reversal of 541140 is 41145.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541141) by changing a digit.

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, 1585 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2541140 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 541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

541140 is an abundant number, since it is smaller than the sum of its proper divisors (1031340).

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

541140 is a wasteful number, since it uses less digits than its factorization.

541140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 541140 is about 735.6221856361. The cubic root of 541140 is about 81.4897925917.

Adding to 541140 its reverse (41145), we get a palindrome (582285).

The spelling of 541140 in words is "five hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 311 348 435 580 622 870 933 1244 1555 1740 1866 3110 3732 4665 6220 9019 9330 18038 18660 27057 36076 45095 54114 90190 108228 135285 180380 270570 541140