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12740 = 2257213
BaseRepresentation
bin11000111000100
3122110212
43013010
5401430
6134552
752100
oct30704
918425
1012740
119632
127458
135a50
144900
153b95
hex31c4

12740 has 36 divisors (see below), whose sum is σ = 33516. Its totient is φ = 4032.

The previous prime is 12739. The next prime is 12743. The reversal of 12740 is 4721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 9604 = 56^2 + 98^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 7 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 974 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (931).

212740 is an apocalyptic number.

12740 is a gapful number since it is divisible by the number (10) 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 12740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758).

12740 is an abundant number, since it is smaller than the sum of its proper divisors (20776).

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

12740 is a wasteful number, since it uses less digits than its factorization.

12740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 12740 is about 112.8716084762. The cubic root of 12740 is about 23.3555344251.

The spelling of 12740 in words is "twelve thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740