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133104 = 2434759
BaseRepresentation
bin100000011111110000
320202120210
4200133300
513224404
62504120
71063026
oct403760
9222523
10133104
1191004
1265040
134877a
1436716
1529689
hex207f0

133104 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 42688.

The previous prime is 133103. The next prime is 133109. The reversal of 133104 is 401331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 133104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2227 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2133104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

133104 is an abundant number, since it is smaller than the sum of its proper divisors (224016).

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

133104 is a wasteful number, since it uses less digits than its factorization.

133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133104 is about 364.8342089224. The cubic root of 133104 is about 51.0579886345.

Adding to 133104 its reverse (401331), we get a palindrome (534435).

The spelling of 133104 in words is "one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 94 118 141 177 188 236 282 354 376 472 564 708 752 944 1128 1416 2256 2773 2832 5546 8319 11092 16638 22184 33276 44368 66552 133104