Search a number
-
+
132420 = 22352207
BaseRepresentation
bin100000010101000100
320201122110
4200111010
513214140
62501020
71061031
oct402504
9221573
10132420
1190542
1264770
1348372
1436388
1529380
hex20544

132420 has 24 divisors (see below), whose sum is σ = 370944. Its totient is φ = 35296.

The previous prime is 132409. The next prime is 132421. The reversal of 132420 is 24231.

Adding to 132420 its reverse (24231), we get a palindrome (156651).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132396 and 132405.

It is not an unprimeable number, because it can be changed into a prime (132421) 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 7 ways as a sum of consecutive naturals, for example, 1044 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (15456).

2132420 is an apocalyptic number.

132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132420 is an abundant number, since it is smaller than the sum of its proper divisors (238524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132420 is a wasteful number, since it uses less digits than its factorization.

132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132420 is about 363.8955894209. The cubic root of 132420 is about 50.9703788006.

The spelling of 132420 in words is "one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2207 4414 6621 8828 11035 13242 22070 26484 33105 44140 66210 132420