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132900 = 22352443
BaseRepresentation
bin100000011100100100
320202022020
4200130210
513223100
62503140
71062315
oct403444
9222266
10132900
1190939
1264ab0
1348651
143660c
15295a0
hex20724

132900 has 36 divisors (see below), whose sum is σ = 385392. Its totient is φ = 35360.

The previous prime is 132893. The next prime is 132911. The reversal of 132900 is 9231.

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

It is an Ulam number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 132900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 521.

2132900 is an apocalyptic number.

132900 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 132900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192696).

132900 is an abundant number, since it is smaller than the sum of its proper divisors (252492).

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

132900 is a wasteful number, since it uses less digits than its factorization.

132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 132900 is about 364.5545226712. The cubic root of 132900 is about 51.0318908577.

The spelling of 132900 in words is "one hundred thirty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 443 886 1329 1772 2215 2658 4430 5316 6645 8860 11075 13290 22150 26580 33225 44300 66450 132900