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545040 = 24325757
BaseRepresentation
bin10000101000100010000
31000200122200
42011010100
5114420130
615403200
74430016
oct2050420
91020580
10545040
11342551
12223500
13161112
141028b6
15ab760
hex85110

545040 has 60 divisors (see below), whose sum is σ = 1832844. Its totient is φ = 145152.

The previous prime is 545033. The next prime is 545057. The reversal of 545040 is 40545.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 278784 = 516^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

545040 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 11 ways as a sum of consecutive naturals, for example, 342 + ... + 1098.

2545040 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 545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916422).

545040 is an abundant number, since it is smaller than the sum of its proper divisors (1287804).

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

545040 is a wasteful number, since it uses less digits than its factorization.

545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 545040 is about 738.2682439331. The cubic root of 545040 is about 81.6850900172.

Adding to 545040 its reverse (40545), we get a palindrome (585585).

The spelling of 545040 in words is "five hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 757 1514 2271 3028 3785 4542 6056 6813 7570 9084 11355 12112 13626 15140 18168 22710 27252 30280 34065 36336 45420 54504 60560 68130 90840 109008 136260 181680 272520 545040