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132320000 = 2854827
BaseRepresentation
bin1111110001100…
…00101100000000
3100012222112220202
413320300230000
5232333220000
621044024332
73164462411
oct770605400
9305875822
10132320000
1168766a7a
12383920a8
132154b777
1413805808
15b93add5
hex7e30b00

132320000 has 90 divisors (see below), whose sum is σ = 330447348. Its totient is φ = 52864000.

The previous prime is 132319991. The next prime is 132320003. The reversal of 132320000 is 23231.

It is not an unprimeable number, because it can be changed into a prime (132320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159587 + ... + 160413.

Almost surely, 2132320000 is an apocalyptic number.

132320000 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 132320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165223674).

132320000 is an abundant number, since it is smaller than the sum of its proper divisors (198127348).

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

132320000 is an frugal number, since it uses more digits than its factorization.

132320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 132320000 is about 11503.0430756387. The cubic root of 132320000 is about 509.5754508603.

Adding to 132320000 its reverse (23231), we get a palindrome (132343231).

The spelling of 132320000 in words is "one hundred thirty-two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 827 1000 1250 1280 1600 1654 2000 2500 3200 3308 4000 4135 5000 6400 6616 8000 8270 10000 13232 16000 16540 20000 20675 26464 32000 33080 40000 41350 52928 66160 80000 82700 103375 105856 132320 160000 165400 206750 211712 264640 330800 413500 516875 529280 661600 827000 1033750 1058560 1323200 1654000 2067500 2646400 3308000 4135000 5292800 6616000 8270000 13232000 16540000 26464000 33080000 66160000 132320000