Search a number
-
+
9163728 = 243279091
BaseRepresentation
bin100010111101…
…001111010000
3122020120021100
4202331033100
54321214403
6524224400
7140614260
oct42751720
918216240
109163728
115199932
12309b100
131b8b032
1413077a0
15c102a3
hex8bd3d0

9163728 has 60 divisors (see below), whose sum is σ = 29312608. Its totient is φ = 2617920.

The previous prime is 9163727. The next prime is 9163733. The reversal of 9163728 is 8273619.

9163728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 9163692 and 9163701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9163723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3538 + ... + 5553.

Almost surely, 29163728 is an apocalyptic number.

It is an amenable number.

9163728 is an abundant number, since it is smaller than the sum of its proper divisors (20148880).

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

9163728 is a wasteful number, since it uses less digits than its factorization.

9163728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9103 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9163728 is about 3027.1650103686. The cubic root of 9163728 is about 209.2621726110.

The spelling of 9163728 in words is "nine million, one hundred sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 9091 18182 27273 36364 54546 63637 72728 81819 109092 127274 145456 163638 190911 218184 254548 327276 381822 436368 509096 572733 654552 763644 1018192 1145466 1309104 1527288 2290932 3054576 4581864 9163728