| Base | Representation |
|---|---|
| bin | 1111000111100… |
| … | …10000010100000 |
| 3 | 22211122011001000 |
| 4 | 13203302002200 |
| 5 | 224431224022 |
| 6 | 20330112000 |
| 7 | 3066646050 |
| oct | 743620240 |
| 9 | 284564030 |
| 10 | 126820512 |
| 11 | 65650145 |
| 12 | 3657b600 |
| 13 | 20374530 |
| 14 | 12bb3560 |
| 15 | b2016ac |
| hex | 78f20a0 |
126820512 has 192 divisors, whose sum is σ = 455535360. Its totient is φ = 33426432.
The previous prime is 126820487. The next prime is 126820537. The reversal of 126820512 is 215028621.
It is a happy number.
126820512 is a `hidden beast` number, since 126 + 8 + 20 + 512 = 666.
It is an interprime number because it is at equal distance from previous prime (126820487) and next prime (126820537).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 77818 + ... + 79430.
It is an arithmetic number, because the mean of its divisors is an integer number (2372580).
Almost surely, 2126820512 is an apocalyptic number.
126820512 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 126820512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227767680).
126820512 is an abundant number, since it is smaller than the sum of its proper divisors (328714848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126820512 is a wasteful number, since it uses less digits than its factorization.
126820512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 126820512 is about 11261.4613616528. The cubic root of 126820512 is about 502.4156597145.
The spelling of 126820512 in words is "one hundred twenty-six million, eight hundred twenty thousand, five hundred twelve".
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