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114681 = 3743127
BaseRepresentation
bin11011111111111001
312211022110
4123333321
512132211
62242533
7655230
oct337771
9184273
10114681
1179186
1256449
1340278
142db17
1523ea6
hex1bff9

114681 has 16 divisors (see below), whose sum is σ = 180224. Its totient is φ = 63504.

The previous prime is 114679. The next prime is 114689. The reversal of 114681 is 186411.

114681 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 114681 - 21 = 114679 is a prime.

It is a super-2 number, since 2×1146812 = 26303463522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian 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 114681.

It is not an unprimeable number, because it can be changed into a prime (114689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (11264).

114681 is a Friedman number, since it can be written as (8-1)*(4^(6+1)-1), using all its digits and the basic arithmetic operations.

2114681 is an apocalyptic number.

It is an amenable number.

114681 is a deficient number, since it is larger than the sum of its proper divisors (65543).

114681 is a wasteful number, since it uses less digits than its factorization.

114681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its digits is 192, while the sum is 21.

The square root of 114681 is about 338.6458326925. The cubic root of 114681 is about 48.5844350569.

The spelling of 114681 in words is "one hundred fourteen thousand, six hundred eighty-one".

Divisors: 1 3 7 21 43 127 129 301 381 889 903 2667 5461 16383 38227 114681