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27300 = 22352713
BaseRepresentation
bin110101010100100
31101110010
412222210
51333200
6330220
7142410
oct65244
941403
1027300
1119569
1213970
13c570
149d40
158150
hex6aa4

27300 has 72 divisors (see below), whose sum is σ = 97216. Its totient is φ = 5760.

The previous prime is 27299. The next prime is 27329. The reversal of 27300 is 372.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2094 + ... + 2106.

227300 is an apocalyptic number.

27300 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 27300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48608).

27300 is an abundant number, since it is smaller than the sum of its proper divisors (69916).

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

27300 is a wasteful number, since it uses less digits than its factorization.

27300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 27300 is about 165.2271164186. The cubic root of 27300 is about 30.1107021101.

Adding to 27300 its reverse (372), we get a palindrome (27672).

It can be divided in two parts, 27 and 300, that multiplied together give a square (8100 = 902).

The spelling of 27300 in words is "twenty-seven thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300