| Base | Representation |
|---|---|
| bin | 1110010101100… |
| … | …0101010100110 |
| 3 | 11012011000121100 |
| 4 | 3211120222212 |
| 5 | 110343211011 |
| 6 | 5544500530 |
| 7 | 1330053654 |
| oct | 345305246 |
| 9 | 135130540 |
| 10 | 60132006 |
| 11 | 30a41080 |
| 12 | 1817a746 |
| 13 | c5c508c |
| 14 | 7db3dd4 |
| 15 | 542bd56 |
| hex | 3958aa6 |
60132006 has 48 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 17997360.
The previous prime is 60131999. The next prime is 60132011. The reversal of 60132006 is 60023106.
It is a happy number.
60132006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 60132006.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 14605 + ... + 18263.
It is an arithmetic number, because the mean of its divisors is an integer number (2997540).
Almost surely, 260132006 is an apocalyptic number.
60132006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 60132006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).
60132006 is an abundant number, since it is smaller than the sum of its proper divisors (83749914).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60132006 is a wasteful number, since it uses less digits than its factorization.
60132006 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3761 (or 3758 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 60132006 is about 7754.4829614875. The cubic root of 60132006 is about 391.7736571651.
Subtracting from 60132006 its reverse (60023106), we obtain a square (108900 = 3302).
The spelling of 60132006 in words is "sixty million, one hundred thirty-two thousand, six".
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