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180312300 = 223252728621
BaseRepresentation
bin10101011111101…
…01100011101100
3110120021210222100
422233311203230
5332124443200
625520415100
74316425560
oct1257654354
9416253870
10180312300
1192866333
1250477490
132b48308c
1419d396a0
1510c6ad00
hexabf58ec

180312300 has 108 divisors (see below), whose sum is σ = 645941296. Its totient is φ = 41212800.

The previous prime is 180312283. The next prime is 180312311. The reversal of 180312300 is 3213081.

180312300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

180312300 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8011 + ... + 20610.

Almost surely, 2180312300 is an apocalyptic number.

180312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180312300 is an abundant number, since it is smaller than the sum of its proper divisors (465628996).

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

180312300 is a wasteful number, since it uses less digits than its factorization.

180312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28648 (or 28638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 180312300 is about 13428.0415548955. The cubic root of 180312300 is about 564.9479681638.

Adding to 180312300 its reverse (3213081), we get a palindrome (183525381).

The spelling of 180312300 in words is "one hundred eighty million, three hundred twelve 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 28621 57242 85863 114484 143105 171726 200347 257589 286210 343452 400694 429315 515178 572420 601041 715525 801388 858630 1001735 1030356 1202082 1287945 1431050 1717260 1803123 2003470 2146575 2404164 2575890 2862100 3005205 3606246 4006940 4293150 5008675 5151780 6010410 6439725 7212492 8586300 9015615 10017350 12020820 12879450 15026025 18031230 20034700 25758900 30052050 36062460 45078075 60104100 90156150 180312300