Base | Representation |
---|---|
bin | 1111000001110… |
… | …00010111111110 |
3 | 22210012111212000 |
4 | 13200320113332 |
5 | 224232410110 |
6 | 20301523130 |
7 | 3060330645 |
oct | 740702776 |
9 | 283174760 |
10 | 126060030 |
11 | 65180848 |
12 | 362734a6 |
13 | 20169345 |
14 | 12a5635c |
15 | b1011c0 |
hex | 78385fe |
126060030 has 64 divisors (see below), whose sum is σ = 337262400. Its totient is φ = 33505920.
The previous prime is 126060029. The next prime is 126060037. The reversal of 126060030 is 30060621.
It is a happy number.
126060030 is a `hidden beast` number, since 1 + 2 + 60 + 600 + 3 + 0 = 666.
It is a super-2 number, since 2×1260600302 = 31782262327201800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 126059985 and 126060012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126060037) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113116 + ... + 114224.
It is an arithmetic number, because the mean of its divisors is an integer number (5269725).
Almost surely, 2126060030 is an apocalyptic number.
126060030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 126060030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168631200).
126060030 is an abundant number, since it is smaller than the sum of its proper divisors (211202370).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126060030 is a wasteful number, since it uses less digits than its factorization.
126060030 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 126060030 is about 11227.6457906366. The cubic root of 126060030 is about 501.4093968018.
The spelling of 126060030 in words is "one hundred twenty-six million, sixty thousand, thirty".
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