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114066 = 2326337
BaseRepresentation
bin11011110110010010
312210110200
4123312102
512122231
62240030
7653361
oct336622
9183420
10114066
1178777
1256016
133cbc4
142d7d8
1523be6
hex1bd92

114066 has 12 divisors (see below), whose sum is σ = 247182. Its totient is φ = 38016.

The previous prime is 114043. The next prime is 114067. The reversal of 114066 is 660411.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 11025 = 321^2 + 105^2 .

It is a super-2 number, since 2×1140662 = 26022104712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6337 = 114066 / (1 + 1 + 4 + 0 + 6 + 6).

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114066.

It is not an unprimeable number, because it can be changed into a prime (114067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3151 + ... + 3186.

2114066 is an apocalyptic number.

114066 is an abundant number, since it is smaller than the sum of its proper divisors (133116).

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

114066 is a wasteful number, since it uses less digits than its factorization.

114066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114066 is about 337.7365837454. The cubic root of 114066 is about 48.4974314011.

Adding to 114066 its reverse (660411), we get a palindrome (774477).

The spelling of 114066 in words is "one hundred fourteen thousand, sixty-six".

Divisors: 1 2 3 6 9 18 6337 12674 19011 38022 57033 114066