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114257 = 11131747
BaseRepresentation
bin11011111001010001
312210201202
4123321101
512124012
62240545
7654053
oct337121
9183652
10114257
1178930
1256155
1340010
142d8d3
1523cc2
hex1be51

114257 has 16 divisors (see below), whose sum is σ = 145152. Its totient is φ = 88320.

The previous prime is 114229. The next prime is 114259. The reversal of 114257 is 752411.

It is a cyclic number.

It is not a de Polignac number, because 114257 - 26 = 114193 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114257.

It is not an unprimeable number, because it can be changed into a prime (114259) 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, 2408 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2114257 is an apocalyptic number.

114257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

114257 is a deficient number, since it is larger than the sum of its proper divisors (30895).

114257 is a wasteful number, since it uses less digits than its factorization.

114257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its digits is 280, while the sum is 20.

The square root of 114257 is about 338.0192302222. The cubic root of 114257 is about 48.5244854576.

Adding to 114257 its reverse (752411), we get a palindrome (866668).

The spelling of 114257 in words is "one hundred fourteen thousand, two hundred fifty-seven".

Divisors: 1 11 13 17 47 143 187 221 517 611 799 2431 6721 8789 10387 114257