Base | Representation |
---|---|
bin | 1000001101001… |
… | …00101100010000 |
3 | 11210112000202221 |
4 | 10012210230100 |
5 | 120110111031 |
6 | 10455150424 |
7 | 1464030301 |
oct | 406445420 |
9 | 153460687 |
10 | 68832016 |
11 | 35943570 |
12 | 1b075414 |
13 | 11350006 |
14 | 91da7a8 |
15 | 6099a11 |
hex | 41a4b10 |
68832016 has 40 divisors (see below), whose sum is σ = 146937024. Its totient is φ = 30975360.
The previous prime is 68832013. The next prime is 68832067. The reversal of 68832016 is 61023886.
It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (68832013) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16230 + ... + 20026.
Almost surely, 268832016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 68832016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73468512).
68832016 is an abundant number, since it is smaller than the sum of its proper divisors (78105008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68832016 is a wasteful number, since it uses less digits than its factorization.
68832016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3919 (or 3913 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 34.
The square root of 68832016 is about 8296.5062526343. The cubic root of 68832016 is about 409.8234734815.
The spelling of 68832016 in words is "sixty-eight million, eight hundred thirty-two thousand, sixteen".
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