Search a number
-
+
118296 = 23323153
BaseRepresentation
bin11100111000011000
320000021100
4130320120
512241141
62311400
71001613
oct347030
9200240
10118296
1180972
1258560
1341ac9
143117a
15250b6
hex1ce18

118296 has 48 divisors (see below), whose sum is σ = 336960. Its totient is φ = 37440.

The previous prime is 118277. The next prime is 118297. The reversal of 118296 is 692811.

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

Its product of digits (864) is a multiple of the sum of its prime factors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118297) by changing a digit.

118296 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 11 ways as a sum of consecutive naturals, for example, 2206 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2118296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

118296 is an abundant number, since it is smaller than the sum of its proper divisors (218664).

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

118296 is a wasteful number, since it uses less digits than its factorization.

118296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 118296 is about 343.9418555512. The cubic root of 118296 is about 49.0896595267.

It can be divided in two parts, 118 and 296, that added together give a palindrome (414).

The spelling of 118296 in words is "one hundred eighteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 53 62 72 93 106 124 159 186 212 248 279 318 372 424 477 558 636 744 954 1116 1272 1643 1908 2232 3286 3816 4929 6572 9858 13144 14787 19716 29574 39432 59148 118296