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132417 = 3214713
BaseRepresentation
bin100000010101000001
320201122100
4200111001
513214132
62501013
71061025
oct402501
9221570
10132417
119053a
1264769
134836c
1436385
152937c
hex20541

132417 has 6 divisors (see below), whose sum is σ = 191282. Its totient is φ = 88272.

The previous prime is 132409. The next prime is 132421. The reversal of 132417 is 714231.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 9216 = 351^2 + 96^2 .

It is not a de Polignac number, because 132417 - 23 = 132409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132417.

It is not an unprimeable number, because it can be changed into a prime (132437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7348 + ... + 7365.

2132417 is an apocalyptic number.

It is an amenable number.

132417 is a deficient number, since it is larger than the sum of its proper divisors (58865).

132417 is a wasteful number, since it uses less digits than its factorization.

132417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14719 (or 14716 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 132417 is about 363.8914673361. The cubic root of 132417 is about 50.9699938832.

Adding to 132417 its reverse (714231), we get a palindrome (846648).

The spelling of 132417 in words is "one hundred thirty-two thousand, four hundred seventeen".

Divisors: 1 3 9 14713 44139 132417