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133900 = 225213103
BaseRepresentation
bin100000101100001100
320210200021
4200230030
513241100
62511524
71065244
oct405414
9223607
10133900
1191668
12655a4
1348c40
1436b24
1529a1a
hex20b0c

133900 has 36 divisors (see below), whose sum is σ = 315952. Its totient is φ = 48960.

The previous prime is 133877. The next prime is 133919. The reversal of 133900 is 9331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

133900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1249 + ... + 1351.

2133900 is an apocalyptic number.

133900 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 133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157976).

133900 is an abundant number, since it is smaller than the sum of its proper divisors (182052).

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

133900 is a wasteful number, since it uses less digits than its factorization.

133900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 133900 is about 365.9234892706. The cubic root of 133900 is about 51.1595668736.

The spelling of 133900 in words is "one hundred thirty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 103 130 206 260 325 412 515 650 1030 1300 1339 2060 2575 2678 5150 5356 6695 10300 13390 26780 33475 66950 133900