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132323200 = 275241351
BaseRepresentation
bin1111110001100…
…01011110000000
3100012222201022021
413320301132000
5232333320300
621044051224
73164504632
oct770613600
9305881267
10132323200
1168769419
1238393b14
1321550069
1413806a52
15b93bd1a
hex7e31780

132323200 has 48 divisors (see below), whose sum is σ = 326887560. Its totient is φ = 52928000.

The previous prime is 132323179. The next prime is 132323207. The reversal of 132323200 is 2323231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132323207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17476 + ... + 23875.

Almost surely, 2132323200 is an apocalyptic number.

132323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132323200 is an abundant number, since it is smaller than the sum of its proper divisors (194564360).

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

132323200 is an equidigital number, since it uses as much as digits as its factorization.

132323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41375 (or 41358 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 132323200 is about 11503.1821684263. The cubic root of 132323200 is about 509.5795586503.

Adding to 132323200 its reverse (2323231), we get a palindrome (134646431).

The spelling of 132323200 in words is "one hundred thirty-two million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 41351 82702 165404 206755 330808 413510 661616 827020 1033775 1323232 1654040 2067550 2646464 3308080 4135100 5292928 6616160 8270200 13232320 16540400 26464640 33080800 66161600 132323200