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114366 = 2372389
BaseRepresentation
bin11011111010111110
312210212210
4123322332
512124431
62241250
7654300
oct337276
9183783
10114366
1178a1a
1256226
1340095
142d970
1523d46
hex1bebe

114366 has 24 divisors (see below), whose sum is σ = 266760. Its totient is φ = 32592.

The previous prime is 114343. The next prime is 114371. The reversal of 114366 is 663411.

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

It is a Curzon number.

It is a nialpdrome in base 7.

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 114366.

It is an unprimeable number.

114366 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2114366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380).

114366 is an abundant number, since it is smaller than the sum of its proper divisors (152394).

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

114366 is a wasteful number, since it uses less digits than its factorization.

114366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 114366 is about 338.1804252171. The cubic root of 114366 is about 48.5399111729.

Adding to 114366 its reverse (663411), we get a palindrome (777777).

The spelling of 114366 in words is "one hundred fourteen thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 389 778 1167 2334 2723 5446 8169 16338 19061 38122 57183 114366