Base | Representation |
---|---|
bin | 1010000011000… |
… | …0100000011000 |
3 | 2221022000120110 |
4 | 2200300200120 |
5 | 41242013340 |
6 | 4103124320 |
7 | 1021125105 |
oct | 240604030 |
9 | 87260513 |
10 | 42141720 |
11 | 21873775 |
12 | 121436a0 |
13 | 896663a |
14 | 584daac |
15 | 3a76680 |
hex | 2830818 |
42141720 has 64 divisors (see below), whose sum is σ = 129381120. Its totient is φ = 10975104.
The previous prime is 42141719. The next prime is 42141721. The reversal of 42141720 is 2714124.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (42141719) and next prime (42141721).
It is a super-5 number, since 5×421417205 (a number of 39 digits) contains 55555 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42141721) 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, 1077 + ... + 9243.
It is an arithmetic number, because the mean of its divisors is an integer number (2021580).
Almost surely, 242141720 is an apocalyptic number.
42141720 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 42141720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64690560).
42141720 is an abundant number, since it is smaller than the sum of its proper divisors (87239400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42141720 is a wasteful number, since it uses less digits than its factorization.
42141720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8224 (or 8220 counting only the distinct ones).
The product of its (nonzero) digits is 448, while the sum is 21.
The square root of 42141720 is about 6491.6654257594. The cubic root of 42141720 is about 347.9931957977.
Adding to 42141720 its reverse (2714124), we get a palindrome (44855844).
The spelling of 42141720 in words is "forty-two million, one hundred forty-one thousand, seven hundred twenty".
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