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540030420 = 223257334093
BaseRepresentation
bin100000001100000…
…011010111010100
31101122011101110200
4200030003113110
52101221433140
6125330420500
716245116466
oct4014032724
91348141420
10540030420
11257918936
12130a31730
1387b5c737
1451a16136
1532624030
hex203035d4

540030420 has 72 divisors (see below), whose sum is σ = 1640727816. Its totient is φ = 143776512.

The previous prime is 540030419. The next prime is 540030427. The reversal of 540030420 is 24030045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 170929476 + 369100944 = 13074^2 + 19212^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 540030393 and 540030402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540030427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129894 + ... + 133986.

Almost surely, 2540030420 is an apocalyptic number.

It is an amenable number.

540030420 is an abundant number, since it is smaller than the sum of its proper divisors (1100697396).

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

540030420 is a wasteful number, since it uses less digits than its factorization.

540030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 540030420 is about 23238.5546022122. The cubic root of 540030420 is about 814.3405759106.

Adding to 540030420 its reverse (24030045), we get a palindrome (564060465).

The spelling of 540030420 in words is "five hundred forty million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733 1466 2199 2932 3665 4093 4398 6597 7330 8186 8796 10995 12279 13194 14660 16372 20465 21990 24558 26388 32985 36837 40930 43980 49116 61395 65970 73674 81860 122790 131940 147348 184185 245580 368370 736740 3000169 6000338 9000507 12000676 15000845 18001014 27001521 30001690 36002028 45002535 54003042 60003380 90005070 108006084 135007605 180010140 270015210 540030420