Search a number
-
+
114176 = 29223
BaseRepresentation
bin11011111000000000
312210121202
4123320000
512123201
62240332
7653606
oct337000
9183552
10114176
1178867
12560a8
133cc7a
142d876
1523c6b
hex1be00

114176 has 20 divisors (see below), whose sum is σ = 229152. Its totient is φ = 56832.

The previous prime is 114167. The next prime is 114193. The reversal of 114176 is 671411.

Adding to 114176 its reverse (671411), we get a palindrome (785587).

It is a congruent number.

It is an unprimeable number.

114176 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401 + ... + 623.

2114176 is an apocalyptic number.

114176 is a gapful number since it is divisible by the number (16) 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 114176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576).

114176 is an abundant number, since it is smaller than the sum of its proper divisors (114976).

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

114176 is an frugal number, since it uses more digits than its factorization.

114176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its digits is 168, while the sum is 20.

The square root of 114176 is about 337.8993933111. The cubic root of 114176 is about 48.5130159561.

The spelling of 114176 in words is "one hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 512 892 1784 3568 7136 14272 28544 57088 114176