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132516 = 2234409
BaseRepresentation
bin100000010110100100
320201210000
4200112210
513220031
62501300
71061226
oct402644
9221700
10132516
119061a
1264830
1348417
1436416
15293e6
hex205a4

132516 has 30 divisors (see below), whose sum is σ = 347270. Its totient is φ = 44064.

The previous prime is 132511. The next prime is 132523. The reversal of 132516 is 615231.

132516 = T178 + T179 + ... + T185.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 2916 = 360^2 + 54^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132511) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 120 + ... + 528.

2132516 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 132516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173635).

132516 is an abundant number, since it is smaller than the sum of its proper divisors (214754).

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

132516 is a wasteful number, since it uses less digits than its factorization.

132516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 132516 is about 364.0274714908. The cubic root of 132516 is about 50.9826930895.

Adding to 132516 its reverse (615231), we get a palindrome (747747).

The spelling of 132516 in words is "one hundred thirty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 409 818 1227 1636 2454 3681 4908 7362 11043 14724 22086 33129 44172 66258 132516