Search a number
-
+
132220 = 22511601
BaseRepresentation
bin100000010001111100
320201101001
4200101330
513212340
62500044
71060324
oct402174
9221331
10132220
1190380
1264624
134824a
1436284
152929a
hex2047c

132220 has 24 divisors (see below), whose sum is σ = 303408. Its totient is φ = 48000.

The previous prime is 132199. The next prime is 132229. The reversal of 132220 is 22231.

132220 = T40 + T41 + ... + T94.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 132197 and 132206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132229) 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 7 ways as a sum of consecutive naturals, for example, 81 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (12642).

2132220 is an apocalyptic number.

132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132220 is an abundant number, since it is smaller than the sum of its proper divisors (171188).

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

132220 is a wasteful number, since it uses less digits than its factorization.

132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 132220 is about 363.6206814800. The cubic root of 132220 is about 50.9447049038.

Adding to 132220 its reverse (22231), we get a palindrome (154451).

The spelling of 132220 in words is "one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 601 1202 2404 3005 6010 6611 12020 13222 26444 33055 66110 132220