Search a number
-
+
116232 = 23329167
BaseRepresentation
bin11100011000001000
312220102220
4130120020
512204412
62254040
7662604
oct343010
9186386
10116232
117a366
1257320
1340b9c
1430504
152468c
hex1c608

116232 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 37184.

The previous prime is 116201. The next prime is 116239. The reversal of 116232 is 232611.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116239) by changing a digit.

116232 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 7 ways as a sum of consecutive naturals, for example, 613 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2116232 is an apocalyptic number.

116232 is a gapful number since it is divisible by the number (12) 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 116232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

116232 is an abundant number, since it is smaller than the sum of its proper divisors (186168).

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

116232 is a wasteful number, since it uses less digits than its factorization.

116232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 116232 is about 340.9281449221. The cubic root of 116232 is about 48.8024812856.

Adding to 116232 its reverse (232611), we get a palindrome (348843).

The spelling of 116232 in words is "one hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 167 174 232 334 348 501 668 696 1002 1336 2004 4008 4843 9686 14529 19372 29058 38744 58116 116232