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132405320 = 2353310133
BaseRepresentation
bin1111110010001…
…01100001001000
3100020010212221202
413321011201020
5232343432240
621045523332
73165266225
oct771054110
9306125852
10132405320
1168815093
1238413548
132157b558
141382894c
15b956315
hex7e45848

132405320 has 16 divisors (see below), whose sum is σ = 297912060. Its totient is φ = 52962112.

The previous prime is 132405313. The next prime is 132405323. The reversal of 132405320 is 23504231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 130462084 + 1943236 = 11422^2 + 1394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132405292 and 132405301.

It is not an unprimeable number, because it can be changed into a prime (132405323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1655027 + ... + 1655106.

Almost surely, 2132405320 is an apocalyptic number.

132405320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132405320 is an abundant number, since it is smaller than the sum of its proper divisors (165506740).

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

132405320 is a wasteful number, since it uses less digits than its factorization.

132405320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310144 (or 3310140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 132405320 is about 11506.7510618767. The cubic root of 132405320 is about 509.6849521606.

132405320 divided by its sum of digits (20) gives a palindrome (6620266).

Adding to 132405320 its reverse (23504231), we get a palindrome (155909551).

The spelling of 132405320 in words is "one hundred thirty-two million, four hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3310133 6620266 13240532 16550665 26481064 33101330 66202660 132405320