Base | Representation |
---|---|
bin | 1000000000100… |
… | …11001011100100 |
3 | 11200102110211021 |
4 | 10000103023210 |
5 | 114144444203 |
6 | 10400020524 |
7 | 1444040500 |
oct | 400231344 |
9 | 150373737 |
10 | 67187428 |
11 | 34a1aa00 |
12 | 1a601744 |
13 | 10bc5599 |
14 | 8ccd300 |
15 | 5d725bd |
hex | 40132e4 |
67187428 has 54 divisors (see below), whose sum is σ = 150391878. Its totient is φ = 26167680.
The previous prime is 67187423. The next prime is 67187431. The reversal of 67187428 is 82478176.
It can be written as a sum of positive squares in only one way, i.e., 54641664 + 12545764 = 7392^2 + 3542^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67187423) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22300 + ... + 25132.
Almost surely, 267187428 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 67187428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75195939).
67187428 is an abundant number, since it is smaller than the sum of its proper divisors (83204450).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67187428 is a wasteful number, since it uses less digits than its factorization.
67187428 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2873 (or 2853 counting only the distinct ones).
The product of its digits is 150528, while the sum is 43.
The square root of 67187428 is about 8196.7937634175. The cubic root of 67187428 is about 406.5331877023.
The spelling of 67187428 in words is "sixty-seven million, one hundred eighty-seven thousand, four hundred twenty-eight".
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