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114296 = 23713157
BaseRepresentation
bin11011111001111000
312210210012
4123321320
512124141
62241052
7654140
oct337170
9183705
10114296
1178966
1256188
1340040
142d920
1523ceb
hex1be78

114296 has 32 divisors (see below), whose sum is σ = 265440. Its totient is φ = 44928.

The previous prime is 114281. The next prime is 114299. The reversal of 114296 is 692411.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114296.

It is not an unprimeable number, because it can be changed into a prime (114299) by changing a digit.

114296 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (8295).

2114296 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 114296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132720).

114296 is an abundant number, since it is smaller than the sum of its proper divisors (151144).

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

114296 is a wasteful number, since it uses less digits than its factorization.

114296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 114296 is about 338.0769143257. The cubic root of 114296 is about 48.5300058769.

The spelling of 114296 in words is "one hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 157 182 314 364 628 728 1099 1256 2041 2198 4082 4396 8164 8792 14287 16328 28574 57148 114296