Base | Representation |
---|---|
bin | 1111101111100… |
… | …1001000000010 |
3 | 11121020210001110 |
4 | 3323321020002 |
5 | 113401012010 |
6 | 10315144150 |
7 | 1431156333 |
oct | 373711002 |
9 | 147223043 |
10 | 66032130 |
11 | 34300a0a |
12 | 1a145056 |
13 | 108ac788 |
14 | 8aac28a |
15 | 5be5120 |
hex | 3ef9202 |
66032130 has 64 divisors (see below), whose sum is σ = 166406400. Its totient is φ = 16746240.
The previous prime is 66032123. The next prime is 66032137. The reversal of 66032130 is 3123066.
66032130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (66032123) and next prime (66032137).
It is a junction number, because it is equal to n+sod(n) for n = 66032097 and 66032106.
It is not an unprimeable number, because it can be changed into a prime (66032137) 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 31 ways as a sum of consecutive naturals, for example, 61236 + ... + 62304.
It is an arithmetic number, because the mean of its divisors is an integer number (2600100).
Almost surely, 266032130 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 66032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83203200).
66032130 is an abundant number, since it is smaller than the sum of its proper divisors (100374270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66032130 is a wasteful number, since it uses less digits than its factorization.
66032130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1179.
The product of its (nonzero) digits is 648, while the sum is 21.
The square root of 66032130 is about 8126.0156288307. The cubic root of 66032130 is about 404.1895697275.
Adding to 66032130 its reverse (3123066), we get a palindrome (69155196).
The spelling of 66032130 in words is "sixty-six million, thirty-two thousand, one hundred thirty".
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