Base | Representation |
---|---|
bin | 1111000011000… |
… | …11001111100000 |
3 | 22210112102201012 |
4 | 13201203033200 |
5 | 224304014431 |
6 | 20305400052 |
7 | 3061661603 |
oct | 741431740 |
9 | 283472635 |
10 | 126235616 |
11 | 65290761 |
12 | 36339028 |
13 | 201cb240 |
14 | 12aa033a |
15 | b13822b |
hex | 78633e0 |
126235616 has 48 divisors (see below), whose sum is σ = 273906864. Its totient is φ = 56899584.
The previous prime is 126235607. The next prime is 126235643. The reversal of 126235616 is 616532621.
126235616 is nontrivially palindromic in base 7.
It is a hoax number, since the sum of its digits (32) 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 (32).
It is a zygodrome in base 2.
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 7 ways as a sum of consecutive naturals, for example, 14360 + ... + 21416.
It is an arithmetic number, because the mean of its divisors is an integer number (5706393).
Almost surely, 2126235616 is an apocalyptic number.
126235616 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 126235616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136953432).
126235616 is an abundant number, since it is smaller than the sum of its proper divisors (147671248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126235616 is a wasteful number, since it uses less digits than its factorization.
126235616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7123 (or 7115 counting only the distinct ones).
The product of its digits is 12960, while the sum is 32.
The square root of 126235616 is about 11235.4624292906. The cubic root of 126235616 is about 501.6420891825.
The spelling of 126235616 in words is "one hundred twenty-six million, two hundred thirty-five thousand, six hundred sixteen".
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