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540720 = 24325751
BaseRepresentation
bin10000100000000110000
31000110201200
42010000300
5114300340
615331200
74411305
oct2040060
91013650
10540720
1133a284
12220b00
1315c16b
141010ac
15aa330
hex84030

540720 has 60 divisors (see below), whose sum is σ = 1818336. Its totient is φ = 144000.

The previous prime is 540713. The next prime is 540751. The reversal of 540720 is 27045.

It is a happy number.

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 15.

It is a junction number, because it is equal to n+sod(n) for n = 540693 and 540702.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345 + ... + 1095.

2540720 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 540720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909168).

540720 is an abundant number, since it is smaller than the sum of its proper divisors (1277616).

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

540720 is a wasteful number, since it uses less digits than its factorization.

540720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 540720 is about 735.3366575930. The cubic root of 540720 is about 81.4687046592.

Adding to 540720 its reverse (27045), we get a palindrome (567765).

The spelling of 540720 in words is "five hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 751 1502 2253 3004 3755 4506 6008 6759 7510 9012 11265 12016 13518 15020 18024 22530 27036 30040 33795 36048 45060 54072 60080 67590 90120 108144 135180 180240 270360 540720