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132460 = 22537179
BaseRepresentation
bin100000010101101100
320201200221
4200111230
513214320
62501124
71061116
oct402554
9221627
10132460
1190579
12647a4
13483a3
14363b6
15293aa
hex2056c

132460 has 24 divisors (see below), whose sum is σ = 287280. Its totient is φ = 51264.

The previous prime is 132439. The next prime is 132469. The reversal of 132460 is 64231.

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 33 + 43 + 217 + 64 + 0 .

It is not an unprimeable number, because it can be changed into a prime (132469) by changing a digit.

132460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2132460 is an apocalyptic number.

132460 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 132460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

132460 is an abundant number, since it is smaller than the sum of its proper divisors (154820).

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

132460 is a wasteful number, since it uses less digits than its factorization.

132460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132460 is about 363.9505460911. The cubic root of 132460 is about 50.9755104774.

Adding to 132460 its reverse (64231), we get a palindrome (196691).

The spelling of 132460 in words is "one hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 179 185 358 370 716 740 895 1790 3580 6623 13246 26492 33115 66230 132460