| Base | Representation |
|---|---|
| bin | 1000100001000… |
| … | …01111001010000 |
| 3 | 11222102122000000 |
| 4 | 10100201321100 |
| 5 | 121242121000 |
| 6 | 11031130000 |
| 7 | 1525150500 |
| oct | 420417120 |
| 9 | 158378000 |
| 10 | 71442000 |
| 11 | 37366483 |
| 12 | 1bb13900 |
| 13 | 11a54c96 |
| 14 | 96b9a00 |
| 15 | 6413000 |
| hex | 4421e50 |
71442000 has 420 divisors, whose sum is σ = 301287636. Its totient is φ = 16329600.
The previous prime is 71441999. The next prime is 71442013. The reversal of 71442000 is 24417.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 69155856 = 1512^2 + 8316^2 .
It is a tau number, because it is divible by the number of its divisors (420).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10205997 + ... + 10206003.
Almost surely, 271442000 is an apocalyptic number.
71442000 is a gapful number since it is divisible by the number (70) 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 71442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150643818).
71442000 is an abundant number, since it is smaller than the sum of its proper divisors (229845636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71442000 is an equidigital number, since it uses as much as digits as its factorization.
71442000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 18.
The square root of 71442000 is about 8452.3369549492. The cubic root of 71442000 is about 414.9392662853.
Multiplying 71442000 by its product of nonzero digits (224), we get a cube (16003008000 = 25203).
Adding to 71442000 its reverse (24417), we get a palindrome (71466417).
The spelling of 71442000 in words is "seventy-one million, four hundred forty-two thousand".
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