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132627 = 3114019
BaseRepresentation
bin100000011000010011
320201221010
4200120103
513221002
62502003
71061445
oct403023
9221833
10132627
1190710
1264903
13484a1
1436495
152946c
hex20613

132627 has 8 divisors (see below), whose sum is σ = 192960. Its totient is φ = 80360.

The previous prime is 132623. The next prime is 132631. The reversal of 132627 is 726231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132623) and next prime (132631).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132627 - 22 = 132623 is a prime.

It is a super-2 number, since 2×1326272 = 35179842258, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 35 + 64 + 23 + 217 + 7 .

It is not an unprimeable number, because it can be changed into a prime (132623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1977 + ... + 2042.

It is an arithmetic number, because the mean of its divisors is an integer number (24120).

2132627 is an apocalyptic number.

132627 is a deficient number, since it is larger than the sum of its proper divisors (60333).

132627 is a wasteful number, since it uses less digits than its factorization.

132627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033.

The product of its digits is 504, while the sum is 21.

The square root of 132627 is about 364.1799005986. The cubic root of 132627 is about 50.9969240744.

Adding to 132627 its reverse (726231), we get a palindrome (858858).

The spelling of 132627 in words is "one hundred thirty-two thousand, six hundred twenty-seven".

Divisors: 1 3 11 33 4019 12057 44209 132627