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542720 = 211553
BaseRepresentation
bin10000100100000000000
31000120110202
42010200000
5114331340
615344332
74420163
oct2044000
91016422
10542720
11340832
122220a8
13160049
14101ada
15aac15
hex84800

542720 has 48 divisors (see below), whose sum is σ = 1326780. Its totient is φ = 212992.

The previous prime is 542719. The next prime is 542723. The reversal of 542720 is 27245.

It can be written as a sum of positive squares in 2 ways, for example, as 541696 + 1024 = 736^2 + 32^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 542692 and 542701.

It is not an unprimeable number, because it can be changed into a prime (542723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10214 + ... + 10266.

2542720 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 542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663390).

542720 is an abundant number, since it is smaller than the sum of its proper divisors (784060).

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

542720 is an equidigital number, since it uses as much as digits as its factorization.

542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 542720 is about 736.6953237262. The cubic root of 542720 is about 81.5690257938.

Adding to 542720 its reverse (27245), we get a palindrome (569965).

The spelling of 542720 in words is "five hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 640 848 1024 1060 1280 1696 2048 2120 2560 3392 4240 5120 6784 8480 10240 13568 16960 27136 33920 54272 67840 108544 135680 271360 542720