Search a number
-
+
126384 = 2432633
BaseRepresentation
bin11110110110110000
320102100220
4132312300
513021014
62413040
71034316
oct366660
9212326
10126384
1186a55
1261180
13456ab
14340b6
15276a9
hex1edb0

126384 has 20 divisors (see below), whose sum is σ = 326616. Its totient is φ = 42112.

The previous prime is 126359. The next prime is 126397. The reversal of 126384 is 483621.

It can be divided in two parts, 126 and 384, that multiplied together give a palindrome (48384).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 plaindrome in base 13.

It is an unprimeable number.

126384 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 3 ways as a sum of consecutive naturals, for example, 1269 + ... + 1364.

2126384 is an apocalyptic number.

It is an amenable number.

126384 is an abundant number, since it is smaller than the sum of its proper divisors (200232).

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

126384 is a wasteful number, since it uses less digits than its factorization.

126384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2638 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 126384 is about 355.5052742225. The cubic root of 126384 is about 50.1838564409.

The spelling of 126384 in words is "one hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2633 5266 7899 10532 15798 21064 31596 42128 63192 126384