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27030300 = 22352118191
BaseRepresentation
bin110011100011…
…1001100011100
31212212021121020
41213013030130
523404432200
62403204140
7445516353
oct147071434
955767536
1027030300
11142922a0
129076650
1357a537b
14383899a
15258dea0
hex19c731c

27030300 has 72 divisors (see below), whose sum is σ = 85327872. Its totient is φ = 6552000.

The previous prime is 27030287. The next prime is 27030301. The reversal of 27030300 is 303072.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27030300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27030301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796 + ... + 7395.

Almost surely, 227030300 is an apocalyptic number.

27030300 is a gapful number since it is divisible by the number (20) 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 27030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42663936).

27030300 is an abundant number, since it is smaller than the sum of its proper divisors (58297572).

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

27030300 is a wasteful number, since it uses less digits than its factorization.

27030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 27030300 is about 5199.0672240316. The cubic root of 27030300 is about 300.1121802690.

Adding to 27030300 its reverse (303072), we get a palindrome (27333372).

The spelling of 27030300 in words is "twenty-seven million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 8191 16382 24573 32764 40955 49146 81910 90101 98292 122865 163820 180202 204775 245730 270303 360404 409550 450505 491460 540606 614325 819100 901010 1081212 1228650 1351515 1802020 2252525 2457300 2703030 4505050 5406060 6757575 9010100 13515150 27030300