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114696 = 233559
BaseRepresentation
bin11100000000001000
312211100000
4130000020
512132241
62243000
7655251
oct340010
9184300
10114696
117919a
1256460
134028a
142db28
1523eb6
hex1c008

114696 has 48 divisors (see below), whose sum is σ = 327600. Its totient is φ = 37584.

The previous prime is 114691. The next prime is 114713. The reversal of 114696 is 696411.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114696.

It is not an unprimeable number, because it can be changed into a prime (114691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1915 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

114696 is a Friedman number, since it can be written as 19^4-(6-1)^6, using all its digits and the basic arithmetic operations.

2114696 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 114696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

114696 is an abundant number, since it is smaller than the sum of its proper divisors (212904).

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

114696 is an equidigital number, since it uses as much as digits as its factorization.

114696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 114696 is about 338.6679790001. The cubic root of 114696 is about 48.5865532071.

The spelling of 114696 in words is "one hundred fourteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 531 648 708 972 1062 1416 1593 1944 2124 3186 4248 4779 6372 9558 12744 14337 19116 28674 38232 57348 114696