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12270 = 235409
BaseRepresentation
bin10111111101110
3121211110
42333232
5343040
6132450
750526
oct27756
917743
1012270
119245
127126
13577b
144686
153980
hex2fee

12270 has 16 divisors (see below), whose sum is σ = 29520. Its totient is φ = 3264.

The previous prime is 12269. The next prime is 12277. The reversal of 12270 is 7221.

12270 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

12270 is strictly pandigital in base 6.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12277) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 175 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (1845).

212270 is an apocalyptic number.

12270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12270 is an abundant number, since it is smaller than the sum of its proper divisors (17250).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760).

12270 is a wasteful number, since it uses less digits than its factorization.

12270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 12270 is about 110.7700320484. The cubic root of 12270 is about 23.0647200439.

Adding to 12270 its reverse (7221), we get a palindrome (19491).

It can be divided in two parts, 12 and 270, that multiplied together give a triangular number (3240 = T80).

The spelling of 12270 in words is "twelve thousand, two hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 15 30 409 818 1227 2045 2454 4090 6135 12270