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133386 = 23114347
BaseRepresentation
bin100000100100001010
320202222020
4200210022
513232021
62505310
71063611
oct404412
9222866
10133386
1191240
1265236
1348936
1436878
15297c6
hex2090a

133386 has 32 divisors (see below), whose sum is σ = 304128. Its totient is φ = 38640.

The previous prime is 133379. The next prime is 133387. The reversal of 133386 is 683331.

Subtracting 133386 from its reverse (683331), we obtain a palindrome (549945).

133386 is a nontrivial binomial coefficient, being equal to C(517, 2).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (133387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815 + ... + 2861.

It is an arithmetic number, because the mean of its divisors is an integer number (9504).

2133386 is an apocalyptic number.

133386 is the 516-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064).

133386 is an abundant number, since it is smaller than the sum of its proper divisors (170742).

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

133386 is a wasteful number, since it uses less digits than its factorization.

133386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its digits is 1296, while the sum is 24.

The square root of 133386 is about 365.2204813534. The cubic root of 133386 is about 51.0940211013.

The spelling of 133386 in words is "one hundred thirty-three thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 43 47 66 86 94 129 141 258 282 473 517 946 1034 1419 1551 2021 2838 3102 4042 6063 12126 22231 44462 66693 133386