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132342020 = 22510216481
BaseRepresentation
bin1111110001101…
…10000100000100
3100020000200010022
413320312010010
5232334421040
621044314312
73164613536
oct770660404
9306020108
10132342020
1168781578
12383a2998
13215587b5
141380d856
15b9426b5
hex7e36104

132342020 has 24 divisors (see below), whose sum is σ = 278233368. Its totient is φ = 52876800.

The previous prime is 132342019. The next prime is 132342029. The reversal of 132342020 is 20243231.

It can be written as a sum of positive squares in 4 ways, for example, as 47665216 + 84676804 = 6904^2 + 9202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132342020.

It is not an unprimeable number, because it can be changed into a prime (132342029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17180 + ... + 23660.

It is an arithmetic number, because the mean of its divisors is an integer number (11593057).

Almost surely, 2132342020 is an apocalyptic number.

132342020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132342020 is an abundant number, since it is smaller than the sum of its proper divisors (145891348).

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

132342020 is a wasteful number, since it uses less digits than its factorization.

132342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7511 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 132342020 is about 11504.0001738526. Note that the first 3 decimals coincide. The cubic root of 132342020 is about 509.6037162499.

Adding to 132342020 its reverse (20243231), we get a palindrome (152585251).

The spelling of 132342020 in words is "one hundred thirty-two million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1021 2042 4084 5105 6481 10210 12962 20420 25924 32405 64810 129620 6617101 13234202 26468404 33085505 66171010 132342020