Search a number
-
+
133986 = 23137163
BaseRepresentation
bin100000101101100010
320210210110
4200231202
513241421
62512150
71065426
oct405542
9223713
10133986
1191736
1265656
1348ca8
1436b86
1529a76
hex20b62

133986 has 16 divisors (see below), whose sum is σ = 271584. Its totient is φ = 44064.

The previous prime is 133981. The next prime is 133993. The reversal of 133986 is 689331.

133986 is nontrivially palindromic in base 12.

133986 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

133986 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133981) by changing a digit.

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, 741 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (16974).

2133986 is an apocalyptic number.

133986 is an abundant number, since it is smaller than the sum of its proper divisors (137598).

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

133986 is a wasteful number, since it uses less digits than its factorization.

133986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its digits is 3888, while the sum is 30.

The square root of 133986 is about 366.0409813122. The cubic root of 133986 is about 51.1705172872.

Subtracting from 133986 its sum of digits (30), we obtain a square (133956 = 3662).

The spelling of 133986 in words is "one hundred thirty-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 137 163 274 326 411 489 822 978 22331 44662 66993 133986