Search a number
-
+
120666 = 23713217
BaseRepresentation
bin11101011101011010
320010112010
4131131122
512330131
62330350
71011540
oct353532
9203463
10120666
1182727
12599b6
1342c00
1431d90
1525b46
hex1d75a

120666 has 48 divisors (see below), whose sum is σ = 316224. Its totient is φ = 29952.

The previous prime is 120661. The next prime is 120671. The reversal of 120666 is 666021.

It is an interprime number because it is at equal distance from previous prime (120661) and next prime (120671).

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

120666 is a modest number, since divided by 666 gives 120 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120661) by changing a digit.

120666 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7090 + ... + 7106.

It is an arithmetic number, because the mean of its divisors is an integer number (6588).

2120666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158112).

120666 is an abundant number, since it is smaller than the sum of its proper divisors (195558).

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

120666 is a wasteful number, since it uses less digits than its factorization.

120666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

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

The square root of 120666 is about 347.3701196131. The cubic root of 120666 is about 49.4153230397.

Adding to 120666 its reverse (666021), we get a palindrome (786687).

The spelling of 120666 in words is "one hundred twenty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 169 182 221 238 273 338 357 442 507 546 663 714 1014 1183 1326 1547 2366 2873 3094 3549 4641 5746 7098 8619 9282 17238 20111 40222 60333 120666