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132323520 = 2635722997
BaseRepresentation
bin1111110001100…
…01100011000000
3100012222201202010
413320301203000
5232333323040
621044052520
73164505600
oct770614300
9305881663
10132323520
116876968a
1238394140
1321550254
1413806c00
15b93be80
hex7e318c0

132323520 has 336 divisors, whose sum is σ = 510783840. Its totient is φ = 28901376.

The previous prime is 132323483. The next prime is 132323537. The reversal of 132323520 is 25323231.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364112 + ... + 1364208.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 2132323520 is an apocalyptic number.

132323520 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 132323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255391920).

132323520 is an abundant number, since it is smaller than the sum of its proper divisors (378460320).

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

132323520 is a wasteful number, since it uses less digits than its factorization.

132323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 132323520 is about 11503.1960776125. The cubic root of 132323520 is about 509.5799694256.

Adding to 132323520 its reverse (25323231), we get a palindrome (157646751).

The spelling of 132323520 in words is "one hundred thirty-two million, three hundred twenty-three thousand, five hundred twenty".