Base | Representation |
---|---|
bin | 1111000100010… |
… | …10001001110000 |
3 | 22210211112100000 |
4 | 13202022021300 |
5 | 224324114432 |
6 | 20313030000 |
7 | 3063224343 |
oct | 742121160 |
9 | 283745300 |
10 | 126394992 |
11 | 6538a479 |
12 | 363b5300 |
13 | 20255949 |
14 | 12b0245a |
15 | b16a57c |
hex | 788a270 |
126394992 has 240 divisors, whose sum is σ = 406224000. Its totient is φ = 37884672.
The previous prime is 126394991. The next prime is 126394993. The reversal of 126394992 is 299493621.
It is a happy number.
126394992 is a `hidden beast` number, since 1 + 2 + 639 + 4 + 9 + 9 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (126394991) and next prime (126394993).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126394991) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 2142259 + ... + 2142317.
It is an arithmetic number, because the mean of its divisors is an integer number (1692600).
Almost surely, 2126394992 is an apocalyptic number.
126394992 is a gapful number since it is divisible by the number (12) 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 126394992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).
126394992 is an abundant number, since it is smaller than the sum of its proper divisors (279829008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126394992 is a wasteful number, since it uses less digits than its factorization.
126394992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130 (or 112 counting only the distinct ones).
The product of its digits is 209952, while the sum is 45.
The square root of 126394992 is about 11242.5527350331. The cubic root of 126394992 is about 501.8531127944.
The spelling of 126394992 in words is "one hundred twenty-six million, three hundred ninety-four thousand, nine hundred ninety-two".
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