| Base | Representation |
|---|---|
| bin | 1111000100010… |
| … | …10010011111000 |
| 3 | 22210211120020000 |
| 4 | 13202022103320 |
| 5 | 224324130030 |
| 6 | 20313033000 |
| 7 | 3063226260 |
| oct | 742122370 |
| 9 | 283746200 |
| 10 | 126395640 |
| 11 | 6538aa08 |
| 12 | 363b5760 |
| 13 | 20256027 |
| 14 | 12b027a0 |
| 15 | b16a860 |
| hex | 788a4f8 |
126395640 has 160 divisors (see below), whose sum is σ = 485606880. Its totient is φ = 28885248.
The previous prime is 126395627. The next prime is 126395651. The reversal of 126395640 is 46593621.
It is a happy number.
126395640 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 9 + 5 + 640 = 666.
It is a super-2 number, since 2×1263956402 = 31951715622019200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 126395595 and 126395604.
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 39 ways as a sum of consecutive naturals, for example, 19894 + ... + 25466.
It is an arithmetic number, because the mean of its divisors is an integer number (3035043).
Almost surely, 2126395640 is an apocalyptic number.
126395640 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 126395640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242803440).
126395640 is an abundant number, since it is smaller than the sum of its proper divisors (359211240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126395640 is a wasteful number, since it uses less digits than its factorization.
126395640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5603 (or 5590 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 126395640 is about 11242.5815540738. The cubic root of 126395640 is about 501.8539704240.
The spelling of 126395640 in words is "one hundred twenty-six million, three hundred ninety-five thousand, six hundred forty".
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