Base | Representation |
---|---|
bin | 1000000001010… |
… | …00110011100000 |
3 | 11200120222022201 |
4 | 10000220303200 |
5 | 114210313000 |
6 | 10401542544 |
7 | 1444556641 |
oct | 400506340 |
9 | 150528281 |
10 | 67276000 |
11 | 34a80500 |
12 | 1a644a54 |
13 | 10c269ac |
14 | 8d136c8 |
15 | 5d8d96a |
hex | 4028ce0 |
67276000 has 144 divisors (see below), whose sum is σ = 182997360. Its totient is φ = 24288000.
The previous prime is 67275991. The next prime is 67276003. The reversal of 67276000 is 67276.
It is a self number, because there is not a number n which added to its sum of digits gives 67276000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67276003) 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, 483931 + ... + 484069.
It is an arithmetic number, because the mean of its divisors is an integer number (1270815).
Almost surely, 267276000 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 67276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91498680).
67276000 is an abundant number, since it is smaller than the sum of its proper divisors (115721360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67276000 is a wasteful number, since it uses less digits than its factorization.
67276000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 157 counting only the distinct ones).
The product of its (nonzero) digits is 3528, while the sum is 28.
The square root of 67276000 is about 8202.1948282152. The cubic root of 67276000 is about 406.7117511006.
67276000 divided by its reverse (67276) gives a cube (1000 = 103).
The spelling of 67276000 in words is "sixty-seven million, two hundred seventy-six thousand".
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