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114966 = 2332129
BaseRepresentation
bin11100000100010110
312211201000
4130010112
512134331
62244130
7656115
oct340426
9184630
10114966
1179415
1256646
1340437
142dc7c
15240e6
hex1c116

114966 has 16 divisors (see below), whose sum is σ = 255600. Its totient is φ = 38304.

The previous prime is 114941. The next prime is 114967. The reversal of 114966 is 669411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114967) by changing a digit.

114966 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (15975).

2114966 is an apocalyptic number.

114966 is an abundant number, since it is smaller than the sum of its proper divisors (140634).

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

114966 is a wasteful number, since it uses less digits than its factorization.

114966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

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

The square root of 114966 is about 339.0663651853. The cubic root of 114966 is about 48.6246483719.

The spelling of 114966 in words is "one hundred fourteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 2129 4258 6387 12774 19161 38322 57483 114966