| Base | Representation |
|---|---|
| bin | 1010000010110… |
| … | …1111111001000 |
| 3 | 2221021111102020 |
| 4 | 2200231333020 |
| 5 | 41241201100 |
| 6 | 4103004440 |
| 7 | 1021053033 |
| oct | 240557710 |
| 9 | 87244366 |
| 10 | 42131400 |
| 11 | 21866a43 |
| 12 | 12139720 |
| 13 | 8961a2c |
| 14 | 584a01a |
| 15 | 3a735a0 |
| hex | 282dfc8 |
42131400 has 192 divisors, whose sum is σ = 141419520. Its totient is φ = 10348800.
The previous prime is 42131399. The next prime is 42131407. The reversal of 42131400 is 413124.
42131400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 42131400.
It is not an unprimeable number, because it can be changed into a prime (42131407) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 593365 + ... + 593435.
It is an arithmetic number, because the mean of its divisors is an integer number (736560).
Almost surely, 242131400 is an apocalyptic number.
42131400 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 42131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).
42131400 is an abundant number, since it is smaller than the sum of its proper divisors (99288120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42131400 is a wasteful number, since it uses less digits than its factorization.
42131400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 156 (or 147 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 42131400 is about 6490.8705117265. The cubic root of 42131400 is about 347.9647870302.
Adding to 42131400 its reverse (413124), we get a palindrome (42544524).
The spelling of 42131400 in words is "forty-two million, one hundred thirty-one thousand, four hundred".
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