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540420300 = 223252785781
BaseRepresentation
bin100000001101100…
…010100011001100
31101122220012021200
4200031202203030
52101321422200
6125343025500
716251332250
oct4015424314
91348805250
10540420300
11258064852
12130b9b290
1387c68034
1451ab8260
153269e800
hex203628cc

540420300 has 108 divisors (see below), whose sum is σ = 1935928176. Its totient is φ = 123523200.

The previous prime is 540420253. The next prime is 540420311. The reversal of 540420300 is 3024045.

It is a happy number.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 36591 + ... + 49190.

Almost surely, 2540420300 is an apocalyptic number.

540420300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540420300 is an abundant number, since it is smaller than the sum of its proper divisors (1395507876).

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

540420300 is a wasteful number, since it uses less digits than its factorization.

540420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85808 (or 85798 counting only the distinct ones).

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

The square root of 540420300 is about 23246.9417343443. The cubic root of 540420300 is about 814.5365023599.

Adding to 540420300 its reverse (3024045), we get a palindrome (543444345).

The spelling of 540420300 in words is "five hundred forty million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 85781 171562 257343 343124 428905 514686 600467 772029 857810 1029372 1200934 1286715 1544058 1715620 1801401 2144525 2401868 2573430 3002335 3088116 3602802 3860145 4289050 5146860 5404203 6004670 6433575 7205604 7720290 8578100 9007005 10808406 12009340 12867150 15011675 15440580 18014010 19300725 21616812 25734300 27021015 30023350 36028020 38601450 45035025 54042030 60046700 77202900 90070050 108084060 135105075 180140100 270210150 540420300