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39714 = 236619
BaseRepresentation
bin1001101100100010
32000110220
421230202
52232324
6503510
7223533
oct115442
960426
1039714
1127924
121ab96
13150cc
141068a
15bb79
hex9b22

• 39714 is the smallest number n such that adding all the digits of the numbers from n to its reverse, we obtain n itself. Here

39714=(3+9+7+1+4) + (3+9+7+1+5) + ... + (4+1+7+9+3).


39714 has 8 divisors (see below), whose sum is σ = 79440. Its totient is φ = 13236.

The previous prime is 39709. The next prime is 39719. The reversal of 39714 is 41793.

It is an interprime number because it is at equal distance from previous prime (39709) and next prime (39719).

It is a sphenic number, since it is the product of 3 distinct primes.

39714 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (39719) by changing a digit.

39714 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 3304 + ... + 3315.

It is an arithmetic number, because the mean of its divisors is an integer number (9930).

239714 is an apocalyptic number.

39714 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (39720).

39714 is a wasteful number, since it uses less digits than its factorization.

39714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624.

The product of its digits is 756, while the sum is 24.

The square root of 39714 is about 199.2837173479. The cubic root of 39714 is about 34.1178150420.

Adding to 39714 its product of digits (756), we get a triangular number (40470 = T284).

The spelling of 39714 in words is "thirty-nine thousand, seven hundred fourteen".

Divisors: 1 2 3 6 6619 13238 19857 39714