| Base | Representation |
|---|---|
| bin | 1111110011111… |
| … | …01000001000000 |
| 3 | 100020120102210000 |
| 4 | 13321331001000 |
| 5 | 232423221030 |
| 6 | 21054440000 |
| 7 | 3200234040 |
| oct | 771750100 |
| 9 | 306512700 |
| 10 | 132632640 |
| 11 | 6895a958 |
| 12 | 38503000 |
| 13 | 2162ab6a |
| 14 | 13887720 |
| 15 | b99d860 |
| hex | 7e7d040 |
132632640 has 560 divisors, whose sum is σ = 584191872. Its totient is φ = 27869184.
The previous prime is 132632639. The next prime is 132632641. The reversal of 132632640 is 46236231.
132632640 is a `hidden beast` number, since 13 + 2 + 6 + 3 + 2 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (132632639) and next prime (132632641).
It is a tau number, because it is divible by the number of its divisors (560).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (132632641) 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 79 ways as a sum of consecutive naturals, for example, 3084459 + ... + 3084501.
Almost surely, 2132632640 is an apocalyptic number.
132632640 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 132632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292095936).
132632640 is an abundant number, since it is smaller than the sum of its proper divisors (451559232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132632640 is a wasteful number, since it uses less digits than its factorization.
132632640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
The square root of 132632640 is about 11516.6245054703. The cubic root of 132632640 is about 509.9764695026.
Adding to 132632640 its reverse (46236231), we get a palindrome (178868871).
The spelling of 132632640 in words is "one hundred thirty-two million, six hundred thirty-two thousand, six hundred forty".
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