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132021 = 3214669
BaseRepresentation
bin100000001110110101
320201002200
4200032311
513211041
62455113
71056621
oct401665
9221080
10132021
119020a
1264499
1348126
1436181
15291b6
hex203b5

132021 has 6 divisors (see below), whose sum is σ = 190710. Its totient is φ = 88008.

The previous prime is 132019. The next prime is 132047. The reversal of 132021 is 120231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 12996 = 345^2 + 114^2 .

It is not a de Polignac number, because 132021 - 21 = 132019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 14669 = 132021 / (1 + 3 + 2 + 0 + 2 + 1).

132021 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 131994 and 132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7326 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (31785).

2132021 is an apocalyptic number.

It is an amenable number.

132021 is a deficient number, since it is larger than the sum of its proper divisors (58689).

132021 is a wasteful number, since it uses less digits than its factorization.

132021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14675 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132021 is about 363.3469416412. The cubic root of 132021 is about 50.9191336673.

Adding to 132021 its reverse (120231), we get a palindrome (252252).

It can be divided in two parts, 13202 and 1, that added together give a triangular number (13203 = T162).

The spelling of 132021 in words is "one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 14669 44007 132021