Base | Representation |
---|---|
bin | 1010000010100… |
… | …1000100001000 |
3 | 2221020110202120 |
4 | 2200221010020 |
5 | 41240024430 |
6 | 4102331240 |
7 | 1020640203 |
oct | 240510410 |
9 | 87213676 |
10 | 42111240 |
11 | 21852886 |
12 | 12129b20 |
13 | 89557c2 |
14 | 584293a |
15 | 3a6c610 |
hex | 2829108 |
42111240 has 64 divisors (see below), whose sum is σ = 127785600. Its totient is φ = 11100672.
The previous prime is 42111211. The next prime is 42111247. The reversal of 42111240 is 4211124.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (42111247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8709 + ... + 12651.
It is an arithmetic number, because the mean of its divisors is an integer number (1996650).
Almost surely, 242111240 is an apocalyptic number.
42111240 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 42111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63892800).
42111240 is an abundant number, since it is smaller than the sum of its proper divisors (85674360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42111240 is a wasteful number, since it uses less digits than its factorization.
42111240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4046 (or 4042 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
The square root of 42111240 is about 6489.3173755026. The cubic root of 42111240 is about 347.9092774475.
Adding to 42111240 its reverse (4211124), we get a palindrome (46322364).
The spelling of 42111240 in words is "forty-two million, one hundred eleven thousand, two hundred forty".
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