| Base | Representation |
|---|---|
| bin | 10001011111110… |
| … | …10101100100000 |
| 3 | 101020012010211000 |
| 4 | 20233322230200 |
| 5 | 300033411122 |
| 6 | 22321552000 |
| 7 | 3431412600 |
| oct | 1057725440 |
| 9 | 336163730 |
| 10 | 146778912 |
| 11 | 75942195 |
| 12 | 411a5600 |
| 13 | 24541a37 |
| 14 | 156cac00 |
| 15 | cd450ac |
| hex | 8bfab20 |
146778912 has 144 divisors (see below), whose sum is σ = 498143520. Its totient is φ = 41924736.
The previous prime is 146778911. The next prime is 146778913. The reversal of 146778912 is 219877641.
It is a happy number.
146778912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (146778911) and next prime (146778913).
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (146778911) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40603 + ... + 44069.
It is an arithmetic number, because the mean of its divisors is an integer number (3459330).
Almost surely, 2146778912 is an apocalyptic number.
146778912 is a gapful number since it is divisible by the number (12) 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 146778912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249071760).
146778912 is an abundant number, since it is smaller than the sum of its proper divisors (351364608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146778912 is a wasteful number, since it uses less digits than its factorization.
146778912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3500 (or 3479 counting only the distinct ones).
The product of its digits is 169344, while the sum is 45.
The square root of 146778912 is about 12115.2347067649. The cubic root of 146778912 is about 527.4984907454.
The spelling of 146778912 in words is "one hundred forty-six million, seven hundred seventy-eight thousand, nine hundred twelve".
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