Base | Representation |
---|---|
bin | 10001011100001… |
… | …00010100000000 |
3 | 101012021111122220 |
4 | 20232010110000 |
5 | 244422402031 |
6 | 22303331040 |
7 | 3424323111 |
oct | 1056042400 |
9 | 335244586 |
10 | 146294016 |
11 | 75640950 |
12 | 40bb0a80 |
13 | 2440210b |
14 | 15602208 |
15 | cc9b596 |
hex | 8b84500 |
146294016 has 72 divisors (see below), whose sum is σ = 424775904. Its totient is φ = 44328960.
The previous prime is 146293999. The next prime is 146294039. The reversal of 146294016 is 610492641.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 17106.
Almost surely, 2146294016 is an apocalyptic number.
146294016 is a gapful number since it is divisible by the number (16) 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 146294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212387952).
146294016 is an abundant number, since it is smaller than the sum of its proper divisors (278481888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146294016 is a wasteful number, since it uses less digits than its factorization.
146294016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17347 (or 17333 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 33.
The square root of 146294016 is about 12095.2063231679. The cubic root of 146294016 is about 526.9169719423.
The spelling of 146294016 in words is "one hundred forty-six million, two hundred ninety-four thousand, sixteen".
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