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132405 = 3571397
BaseRepresentation
bin100000010100110101
320201121220
4200110311
513214110
62500553
71061010
oct402465
9221556
10132405
1190529
1264759
1348360
1436377
1529370
hex20535

132405 has 32 divisors (see below), whose sum is σ = 263424. Its totient is φ = 55296.

The previous prime is 132403. The next prime is 132409. The reversal of 132405 is 504231.

It is not a de Polignac number, because 132405 - 21 = 132403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317 + ... + 1413.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2132405 is an apocalyptic number.

132405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132405 is a deficient number, since it is larger than the sum of its proper divisors (131019).

132405 is a wasteful number, since it uses less digits than its factorization.

132405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 132405 is about 363.8749785297. The cubic root of 132405 is about 50.9684541554.

Adding to 132405 its reverse (504231), we get a palindrome (636636).

The spelling of 132405 in words is "one hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 97 105 195 273 291 455 485 679 1261 1365 1455 2037 3395 3783 6305 8827 10185 18915 26481 44135 132405