| Base | Representation |
|---|---|
| bin | 1111000011110… |
| … | …11111010100000 |
| 3 | 22210201120100000 |
| 4 | 13201323322200 |
| 5 | 224320233142 |
| 6 | 20311500000 |
| 7 | 3062562330 |
| oct | 741737240 |
| 9 | 283646300 |
| 10 | 126336672 |
| 11 | 6534a680 |
| 12 | 36387600 |
| 13 | 20235237 |
| 14 | 12ac90c0 |
| 15 | b15814c |
| hex | 787bea0 |
126336672 has 288 divisors, whose sum is σ = 466712064. Its totient is φ = 32659200.
The previous prime is 126336671. The next prime is 126336701. The reversal of 126336672 is 276633621.
126336672 is a `hidden beast` number, since 12 + 633 + 6 + 6 + 7 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126336671) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598647 + ... + 598857.
It is an arithmetic number, because the mean of its divisors is an integer number (1620528).
Almost surely, 2126336672 is an apocalyptic number.
126336672 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 126336672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233356032).
126336672 is an abundant number, since it is smaller than the sum of its proper divisors (340375392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126336672 is a wasteful number, since it uses less digits than its factorization.
126336672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 254 (or 234 counting only the distinct ones).
The product of its digits is 54432, while the sum is 36.
The square root of 126336672 is about 11239.9587187854. The cubic root of 126336672 is about 501.7759141234.
The spelling of 126336672 in words is "one hundred twenty-six million, three hundred thirty-six thousand, six hundred seventy-two".
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