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133350 = 23527127
BaseRepresentation
bin100000100011100110
320202220220
4200203212
513231400
62505210
71063530
oct404346
9222826
10133350
1191208
1265206
1348909
1436850
15297a0
hex208e6

133350 has 48 divisors (see below), whose sum is σ = 380928. Its totient is φ = 30240.

The previous prime is 133349. The next prime is 133351. The reversal of 133350 is 53331.

It is an interprime number because it is at equal distance from previous prime (133349) and next prime (133351).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133351) 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 23 ways as a sum of consecutive naturals, for example, 987 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (7936).

2133350 is an apocalyptic number.

133350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190464).

133350 is an abundant number, since it is smaller than the sum of its proper divisors (247578).

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

133350 is a wasteful number, since it uses less digits than its factorization.

133350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 133350 is about 365.1711927302. The cubic root of 133350 is about 51.0894240415.

Adding to 133350 its reverse (53331), we get a palindrome (186681).

The spelling of 133350 in words is "one hundred thirty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 127 150 175 210 254 350 381 525 635 762 889 1050 1270 1778 1905 2667 3175 3810 4445 5334 6350 8890 9525 13335 19050 22225 26670 44450 66675 133350