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132804500 = 22531511759
BaseRepresentation
bin1111110101001…
…10111110010100
3100020220011112012
413322212332110
5232444221000
621102243352
73201551063
oct772467624
9306804465
10132804500
1168a67a94
1238586558
132168b15a
14138d01da
15b9d4735
hex7ea6f94

132804500 has 48 divisors (see below), whose sum is σ = 292131840. Its totient is φ = 52740000.

The previous prime is 132804499. The next prime is 132804517. The reversal of 132804500 is 5408231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74621 + ... + 76379.

It is an arithmetic number, because the mean of its divisors is an integer number (6086080).

Almost surely, 2132804500 is an apocalyptic number.

132804500 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 132804500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146065920).

132804500 is an abundant number, since it is smaller than the sum of its proper divisors (159327340).

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

132804500 is a wasteful number, since it uses less digits than its factorization.

132804500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 132804500 is about 11524.0834776567. The cubic root of 132804500 is about 510.1966433800.

The spelling of 132804500 in words is "one hundred thirty-two million, eight hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 151 250 302 500 604 755 1510 1759 3020 3518 3775 7036 7550 8795 15100 17590 18875 35180 37750 43975 75500 87950 175900 219875 265609 439750 531218 879500 1062436 1328045 2656090 5312180 6640225 13280450 26560900 33201125 66402250 132804500