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540612300 = 223521939337
BaseRepresentation
bin100000001110010…
…001011011001100
31101200020221122210
4200032101123030
52101344043200
6125351110420
716253062104
oct4016213314
91350227583
10540612300
11258186028
12131072410
1388004547
1451b28204
15326db650
hex203916cc

540612300 has 72 divisors (see below), whose sum is σ = 1572444496. Its totient is φ = 143400960.

The previous prime is 540612299. The next prime is 540612311. The reversal of 540612300 is 3216045.

It is a happy number.

It is a super-2 number, since 2×5406123002 = 584523317822580000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53232 + ... + 62568.

Almost surely, 2540612300 is an apocalyptic number.

540612300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540612300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786222248).

540612300 is an abundant number, since it is smaller than the sum of its proper divisors (1031832196).

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

540612300 is a wasteful number, since it uses less digits than its factorization.

540612300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 540612300 is about 23251.0709430770. The cubic root of 540612300 is about 814.6329535180.

Adding to 540612300 its reverse (3216045), we get a palindrome (543828345).

The spelling of 540612300 in words is "five hundred forty million, six hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 300 386 579 772 965 1158 1930 2316 2895 3860 4825 5790 9337 9650 11580 14475 18674 19300 28011 28950 37348 46685 56022 57900 93370 112044 140055 186740 233425 280110 466850 560220 700275 933700 1400550 1802041 2801100 3604082 5406123 7208164 9010205 10812246 18020410 21624492 27030615 36040820 45051025 54061230 90102050 108122460 135153075 180204100 270306150 540612300