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128232000 = 26325313137
BaseRepresentation
bin1111010010010…
…10101001000000
322221021212020100
413221022221000
5230311411000
620420242400
73114645141
oct751125100
9287255210
10128232000
1166424666
1236b40400
1320749b30
141305dac8
15b3cea00
hex7a4aa40

128232000 has 336 divisors, whose sum is σ = 497598192. Its totient is φ = 31334400.

The previous prime is 128231993. The next prime is 128232011. The reversal of 128232000 is 232821.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 60466176 + 67765824 = 7776^2 + 8232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 935932 + ... + 936068.

It is an arithmetic number, because the mean of its divisors is an integer number (1480947).

Almost surely, 2128232000 is an apocalyptic number.

128232000 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 128232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248799096).

128232000 is an abundant number, since it is smaller than the sum of its proper divisors (369366192).

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

128232000 is a wasteful number, since it uses less digits than its factorization.

128232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 128232000 is about 11323.9569056050. The cubic root of 128232000 is about 504.2727171061.

Adding to 128232000 its reverse (232821), we get a palindrome (128464821).

The spelling of 128232000 in words is "one hundred twenty-eight million, two hundred thirty-two thousand".