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132104 = 2372337
BaseRepresentation
bin100000010000001000
320201012202
4200100020
513211404
62455332
71060100
oct402010
9221182
10132104
1190285
1264548
134818b
1436200
152921e
hex20408

132104 has 24 divisors (see below), whose sum is σ = 288990. Its totient is φ = 56448.

The previous prime is 132103. The next prime is 132109. The reversal of 132104 is 401231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 9604 = 350^2 + 98^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224 + ... + 560.

2132104 is an apocalyptic number.

132104 is a gapful number since it is divisible by the number (14) 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 132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144495).

132104 is an abundant number, since it is smaller than the sum of its proper divisors (156886).

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

132104 is a wasteful number, since it uses less digits than its factorization.

132104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 132104 is about 363.4611396009. The cubic root of 132104 is about 50.9298021790.

Adding to 132104 its reverse (401231), we get a palindrome (533335).

The spelling of 132104 in words is "one hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 337 392 674 1348 2359 2696 4718 9436 16513 18872 33026 66052 132104