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14076 = 22321723
BaseRepresentation
bin11011011111100
3201022100
43123330
5422301
6145100
756016
oct33374
921270
1014076
11a637
128190
13653a
1451b6
154286
hex36fc

14076 has 36 divisors (see below), whose sum is σ = 39312. Its totient is φ = 4224.

The previous prime is 14071. The next prime is 14081. The reversal of 14076 is 67041.

It can be divided in two parts, 140 and 76, that added together give a cube (216 = 63).

It is an interprime number because it is at equal distance from previous prime (14071) and next prime (14081).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14076.

It is not an unprimeable number, because it can be changed into a prime (14071) by changing a digit.

14076 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, 601 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

214076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656).

14076 is an abundant number, since it is smaller than the sum of its proper divisors (25236).

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

14076 is a wasteful number, since it uses less digits than its factorization.

14076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 45 counting only the distinct ones).

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

The square root of 14076 is about 118.6423195997. The cubic root of 14076 is about 24.1449560599.

The spelling of 14076 in words is "fourteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 14076