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14706 = 2321943

14706 has 24 divisors (see below), whose sum is σ = 34320. Its totient is φ = 4536.

The previous prime is 14699. The next prime is 14713. The reversal of 14706 is 60741.

14706 = 92 + 102 + ... + 352.

14706 is nontrivially palindromic in base 7.

14706 is a nontrivial binomial coefficient, being equal to C(172, 2).

It is an interprime number because it is at equal distance from previous prime (14699) and next prime (14713).

It is a Harshad number since it is a multiple of its sum of digits (18).

14706 is an undulating number in base 7.

It is a plaindrome in base 15.

It is an unprimeable number.

14706 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (1430).

214706 is an apocalyptic number.

14706 is the 171-st triangular number and also the 86-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160).

14706 is an abundant number, since it is smaller than the sum of its proper divisors (19614).

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

14706 is a wasteful number, since it uses less digits than its factorization.

14706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 14706 is about 121.2682975884. The cubic root of 14706 is about 24.4999305843.

The spelling of 14706 in words is "fourteen thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 2451 4902 7353 14706