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16093 = 711219
BaseRepresentation
bin11111011011101
3211002001
43323131
51003333
6202301
764630
oct37335
924061
1016093
1111100
129391
13742c
145c17
154b7d
hex3edd

16093 has 12 divisors (see below), whose sum is σ = 21280. Its totient is φ = 11880.

The previous prime is 16091. The next prime is 16097. The reversal of 16093 is 39061.

It is not a de Polignac number, because 16093 - 21 = 16091 is a prime.

It is a hoax number, since the sum of its digits (19) 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 (19).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 16093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 838 + ... + 856.

216093 is an apocalyptic number.

It is an amenable number.

16093 is a deficient number, since it is larger than the sum of its proper divisors (5187).

16093 is a wasteful number, since it uses less digits than its factorization.

16093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 16093 is about 126.8581885414. The cubic root of 16093 is about 25.2471486503.

Subtracting from 16093 its product of nonzero digits (162), we obtain a triangular number (15931 = T178).

It can be divided in two parts, 160 and 93, that added together give a triangular number (253 = T22).

The spelling of 16093 in words is "sixteen thousand, ninety-three".

Divisors: 1 7 11 19 77 121 133 209 847 1463 2299 16093