Base | Representation |
---|---|
bin | 1000000110101… |
… | …01011111101000 |
3 | 11201220220121100 |
4 | 10003111133220 |
5 | 114400431321 |
6 | 10425041400 |
7 | 1453564101 |
oct | 403253750 |
9 | 151826540 |
10 | 67983336 |
11 | 35413983 |
12 | 1a926260 |
13 | 11113935 |
14 | 90593a8 |
15 | 5e7d326 |
hex | 40d57e8 |
67983336 has 48 divisors (see below), whose sum is σ = 185386500. Its totient is φ = 22505472.
The previous prime is 67983283. The next prime is 67983343. The reversal of 67983336 is 63338976.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 62252100 + 5731236 = 7890^2 + 2394^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 67983291 and 67983300.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7560 + ... + 13896.
Almost surely, 267983336 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 67983336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92693250).
67983336 is an abundant number, since it is smaller than the sum of its proper divisors (117403164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67983336 is a wasteful number, since it uses less digits than its factorization.
67983336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6498 (or 6491 counting only the distinct ones).
The product of its digits is 489888, while the sum is 45.
The square root of 67983336 is about 8245.2007859118. The cubic root of 67983336 is about 408.1321659479.
The spelling of 67983336 in words is "sixty-seven million, nine hundred eighty-three thousand, three hundred thirty-six".
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