Search a number
-
+
16542 = 232919
BaseRepresentation
bin100000010011110
3211200200
410002132
51012132
6204330
766141
oct40236
924620
1016542
1111479
1296a6
1376b6
146058
154d7c
hex409e

16542 has 12 divisors (see below), whose sum is σ = 35880. Its totient is φ = 5508.

The previous prime is 16529. The next prime is 16547. The reversal of 16542 is 24561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 919 = 16542 / (1 + 6 + 5 + 4 + 2).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16547) by changing a digit.

16542 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 5 ways as a sum of consecutive naturals, for example, 442 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (2990).

216542 is an apocalyptic number.

16542 is an abundant number, since it is smaller than the sum of its proper divisors (19338).

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

16542 is a wasteful number, since it uses less digits than its factorization.

16542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 924 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 16542 is about 128.6157066614. The cubic root of 16542 is about 25.4797994574.

16542 divided by its sum of digits (18) gives a palindrome (919).

The spelling of 16542 in words is "sixteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 919 1838 2757 5514 8271 16542