Base | Representation |
---|---|
bin | 1111000011000… |
… | …01111000000000 |
3 | 22210112011000210 |
4 | 13201201320000 |
5 | 224303330031 |
6 | 20305314120 |
7 | 3061636353 |
oct | 741417000 |
9 | 283464023 |
10 | 126230016 |
11 | 65287530 |
12 | 36335940 |
13 | 201c8823 |
14 | 12a9c29a |
15 | b136746 |
hex | 7861e00 |
126230016 has 160 divisors (see below), whose sum is σ = 380261376. Its totient is φ = 36864000.
The previous prime is 126230009. The next prime is 126230023. The reversal of 126230016 is 610032621.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (126230009) and next prime (126230023).
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 126229974 and 126230001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523656 + ... + 523896.
Almost surely, 2126230016 is an apocalyptic number.
126230016 is a gapful number since it is divisible by the number (16) 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 126230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190130688).
126230016 is an abundant number, since it is smaller than the sum of its proper divisors (254031360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126230016 is a wasteful number, since it uses less digits than its factorization.
126230016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 304 (or 288 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
The square root of 126230016 is about 11235.2132156003. The cubic root of 126230016 is about 501.6346712093.
Adding to 126230016 its reverse (610032621), we get a palindrome (736262637).
The spelling of 126230016 in words is "one hundred twenty-six million, two hundred thirty thousand, sixteen".
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