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14720 = 27523

14720 has 32 divisors (see below), whose sum is σ = 36720. Its totient is φ = 5632.

The previous prime is 14717. The next prime is 14723. The reversal of 14720 is 2741.

It is a happy number.

14720 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (14717) and next prime (14723).

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 14695 and 14704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629 + ... + 651.

214720 is an apocalyptic number.

14720 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 14720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360).

14720 is an abundant number, since it is smaller than the sum of its proper divisors (22000).

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

14720 is an equidigital number, since it uses as much as digits as its factorization.

14720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

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

The square root of 14720 is about 121.3260071048. The cubic root of 14720 is about 24.5077027009.

Subtracting from 14720 its sum of digits (14), we obtain a triangular number (14706 = T171).

The spelling of 14720 in words is "fourteen thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720