Search a number
-
+
133600 = 2552167
BaseRepresentation
bin100000100111100000
320210021011
4200213200
513233400
62510304
71064335
oct404740
9223234
10133600
1191415
1265394
1348a6c
143698c
15298ba
hex209e0

133600 has 36 divisors (see below), whose sum is σ = 328104. Its totient is φ = 53120.

The previous prime is 133597. The next prime is 133631. The reversal of 133600 is 6331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717 + ... + 883.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2133600 is an apocalyptic number.

133600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052).

133600 is an abundant number, since it is smaller than the sum of its proper divisors (194504).

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

133600 is a wasteful number, since it uses less digits than its factorization.

133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 133600 is about 365.5133376499. The cubic root of 133600 is about 51.1213310096.

Adding to 133600 its reverse (6331), we get a palindrome (139931).

It can be divided in two parts, 133 and 600, that multiplied together give a triangular number (79800 = T399).

The spelling of 133600 in words is "one hundred thirty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 167 200 334 400 668 800 835 1336 1670 2672 3340 4175 5344 6680 8350 13360 16700 26720 33400 66800 133600