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132020 = 22572341
BaseRepresentation
bin100000001110110100
320201002122
4200032310
513211040
62455112
71056620
oct401664
9221078
10132020
1190209
1264498
1348125
1436180
15291b5
hex203b4

132020 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 42240.

The previous prime is 132019. The next prime is 132047. The reversal of 132020 is 20231.

132020 = T23 + T24 + ... + T92.

132020 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 131989 and 132007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3200 + ... + 3240.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2132020 is an apocalyptic number.

132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

132020 is an abundant number, since it is smaller than the sum of its proper divisors (206668).

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

132020 is a wasteful number, since it uses less digits than its factorization.

132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 132020 is about 363.3455655433. The cubic root of 132020 is about 50.9190051038.

Adding to 132020 its reverse (20231), we get a palindrome (152251).

The spelling of 132020 in words is "one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 41 46 70 82 92 115 140 161 164 205 230 287 322 410 460 574 644 805 820 943 1148 1435 1610 1886 2870 3220 3772 4715 5740 6601 9430 13202 18860 26404 33005 66010 132020