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132408420 = 22354614787
BaseRepresentation
bin1111110010001…
…10010001100100
3100020011001012120
413321012101210
5232344032140
621045545540
73165311244
oct771062144
9306131176
10132408420
1168817451
12384152b0
132157caa1
1413829b24
15b9571d0
hex7e46464

132408420 has 48 divisors (see below), whose sum is σ = 371625408. Its totient is φ = 35224960.

The previous prime is 132408413. The next prime is 132408443. The reversal of 132408420 is 24804231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25267 + ... + 30053.

It is an arithmetic number, because the mean of its divisors is an integer number (7742196).

Almost surely, 2132408420 is an apocalyptic number.

132408420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132408420 is an abundant number, since it is smaller than the sum of its proper divisors (239216988).

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

132408420 is a wasteful number, since it uses less digits than its factorization.

132408420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 132408420 is about 11506.8857646194. The cubic root of 132408420 is about 509.6889298734.

The spelling of 132408420 in words is "one hundred thirty-two million, four hundred eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 461 922 1383 1844 2305 2766 4610 4787 5532 6915 9220 9574 13830 14361 19148 23935 27660 28722 47870 57444 71805 95740 143610 287220 2206807 4413614 6620421 8827228 11034035 13240842 22068070 26481684 33102105 44136140 66204210 132408420