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132355 = 5103257
BaseRepresentation
bin100000010100000011
320201120001
4200110003
513213410
62500431
71060606
oct402403
9221501
10132355
1190493
1264717
1348322
143633d
152933a
hex20503

132355 has 8 divisors (see below), whose sum is σ = 160992. Its totient is φ = 104448.

The previous prime is 132347. The next prime is 132361. The reversal of 132355 is 553231.

132355 is a nontrivial binomial coefficient, being equal to C(515, 2).

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 132355 - 23 = 132347 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 387 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (20124).

2132355 is an apocalyptic number.

132355 is the 514-th triangular number.

132355 is the 172-nd centered nonagonal number.

132355 is a deficient number, since it is larger than the sum of its proper divisors (28637).

132355 is a wasteful number, since it uses less digits than its factorization.

132355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its digits is 450, while the sum is 19.

The square root of 132355 is about 363.8062671258. The cubic root of 132355 is about 50.9620376214.

Adding to 132355 its reverse (553231), we get a palindrome (685586).

It can be divided in two parts, 1323 and 55, that added together give a triangular number (1378 = T52).

The spelling of 132355 in words is "one hundred thirty-two thousand, three hundred fifty-five".

Divisors: 1 5 103 257 515 1285 26471 132355