| Base | Representation |
|---|---|
| bin | 1010000100110… |
| … | …1101010000000 |
| 3 | 2221112002100200 |
| 4 | 2201031222000 |
| 5 | 41304323440 |
| 6 | 4105445200 |
| 7 | 1022133156 |
| oct | 241155200 |
| 9 | 87462320 |
| 10 | 42261120 |
| 11 | 21945450 |
| 12 | 121a0800 |
| 13 | 89a8aa5 |
| 14 | 58813d6 |
| 15 | 3a9bc30 |
| hex | 284da80 |
42261120 has 384 divisors, whose sum is σ = 171849600. Its totient is φ = 9461760.
The previous prime is 42261101. The next prime is 42261137. The reversal of 42261120 is 2116224.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 42261093 and 42261102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457266 + ... + 1457294.
It is an arithmetic number, because the mean of its divisors is an integer number (447525).
Almost surely, 242261120 is an apocalyptic number.
42261120 is a gapful number since it is divisible by the number (40) 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 42261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).
42261120 is an abundant number, since it is smaller than the sum of its proper divisors (129588480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42261120 is a wasteful number, since it uses less digits than its factorization.
42261120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88 (or 73 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 42261120 is about 6500.8553283395. The cubic root of 42261120 is about 348.3215418936.
Adding to 42261120 its reverse (2116224), we get a palindrome (44377344).
Subtracting from 42261120 its reverse (2116224), we obtain a square (40144896 = 63362).
It can be divided in two parts, 42 and 261120, that added together give a palindrome (261162).
The spelling of 42261120 in words is "forty-two million, two hundred sixty-one thousand, one hundred twenty".
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