Search a number
-
+
16320 = 263517
BaseRepresentation
bin11111111000000
3211101110
43333000
51010240
6203320
765403
oct37700
924343
1016320
1111297
129540
137575
145d3a
154c80
hex3fc0

16320 has 56 divisors (see below), whose sum is σ = 54864. Its totient is φ = 4096.

The previous prime is 16319. The next prime is 16333. The reversal of 16320 is 2361.

It is a Harshad number since it is a multiple of its sum of digits (12).

16320 is an undulating number in base 13.

It is a nialpdrome in base 2, base 4 and base 12.

It is a zygodrome in base 2 and base 4.

It is a junction number, because it is equal to n+sod(n) for n = 16296 and 16305.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 34 × 30 × 16.

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 16320.

It is an unprimeable number.

In principle, a polygon with 16320 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952 + ... + 968.

216320 is an apocalyptic number.

16320 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 16320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432).

16320 is an abundant number, since it is smaller than the sum of its proper divisors (38544).

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

16320 is a wasteful number, since it uses less digits than its factorization.

16320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 16320 is about 127.7497553814. The cubic root of 16320 is about 25.3653028215.

The spelling of 16320 in words is "sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320