| Base | Representation |
|---|---|
| bin | 1001000110010… |
| … | …0011010000000 |
| 3 | 2122210201200100 |
| 4 | 2101210122000 |
| 5 | 34232110000 |
| 6 | 3441522400 |
| 7 | 642232434 |
| oct | 221443200 |
| 9 | 78721610 |
| 10 | 38160000 |
| 11 | 1a5a419a |
| 12 | 10943400 |
| 13 | 7ba11a8 |
| 14 | 50d49c4 |
| 15 | 353ba00 |
| hex | 2464680 |
38160000 has 240 divisors, whose sum is σ = 139806810. Its totient is φ = 9984000.
The previous prime is 38159993. The next prime is 38160007. The reversal of 38160000 is 6183.
It is an interprime number because it is at equal distance from previous prime (38159993) and next prime (38160007).
It can be written as a sum of positive squares in 5 ways, for example, as 1871424 + 36288576 = 1368^2 + 6024^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (38160007) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719974 + ... + 720026.
Almost surely, 238160000 is an apocalyptic number.
38160000 is a gapful number since it is divisible by the number (30) 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 38160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69903405).
38160000 is an abundant number, since it is smaller than the sum of its proper divisors (101646810).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38160000 is an equidigital number, since it uses as much as digits as its factorization.
38160000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 93 (or 63 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 38160000 is about 6177.3780845922. The cubic root of 38160000 is about 336.6687361678.
Adding to 38160000 its reverse (6183), we get a palindrome (38166183).
The spelling of 38160000 in words is "thirty-eight million, one hundred sixty thousand".
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