| Base | Representation |
|---|---|
| bin | 1111110001100… |
| … | …01000101000000 |
| 3 | 100012222122010000 |
| 4 | 13320301011000 |
| 5 | 232333242400 |
| 6 | 21044040000 |
| 7 | 3164500155 |
| oct | 770610500 |
| 9 | 305878100 |
| 10 | 132321600 |
| 11 | 687681a4 |
| 12 | 38393000 |
| 13 | 2154c408 |
| 14 | 1380622c |
| 15 | b93b600 |
| hex | 7e31140 |
132321600 has 210 divisors, whose sum is σ = 486857294. Its totient is φ = 35251200.
The previous prime is 132321589. The next prime is 132321611. The reversal of 132321600 is 6123231.
132321600 is a `hidden beast` number, since 1 + 32 + 32 + 1 + 600 = 666.
It is an interprime number because it is at equal distance from previous prime (132321589) and next prime (132321611).
It can be written as a sum of positive squares in 3 ways, for example, as 10969344 + 121352256 = 3312^2 + 11016^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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 29 ways as a sum of consecutive naturals, for example, 129090 + ... + 130110.
Almost surely, 2132321600 is an apocalyptic number.
132321600 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 132321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243428647).
132321600 is an abundant number, since it is smaller than the sum of its proper divisors (354535694).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132321600 is a wasteful number, since it uses less digits than its factorization.
132321600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1055 (or 1031 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 132321600 is about 11503.1126222427. The cubic root of 132321600 is about 509.5775047636.
Adding to 132321600 its reverse (6123231), we get a palindrome (138444831).
The spelling of 132321600 in words is "one hundred thirty-two million, three hundred twenty-one thousand, six hundred".
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