Base | Representation |
---|---|
bin | 1000000000100… |
… | …01011110001100 |
3 | 11200102010020000 |
4 | 10000101132030 |
5 | 114144233203 |
6 | 10355524300 |
7 | 1444011210 |
oct | 400213614 |
9 | 150363200 |
10 | 67180428 |
11 | 34a15717 |
12 | 1a5b9690 |
13 | 10bc2343 |
14 | 8cca940 |
15 | 5d704a3 |
hex | 401178c |
67180428 has 120 divisors (see below), whose sum is σ = 211411200. Its totient is φ = 18172512.
The previous prime is 67180387. The next prime is 67180429. The reversal of 67180428 is 82408176.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 67180392 and 67180401.
It is not an unprimeable number, because it can be changed into a prime (67180429) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42313 + ... + 43871.
It is an arithmetic number, because the mean of its divisors is an integer number (1761760).
Almost surely, 267180428 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 67180428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105705600).
67180428 is an abundant number, since it is smaller than the sum of its proper divisors (144230772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67180428 is a wasteful number, since it uses less digits than its factorization.
67180428 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1601 (or 1590 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The square root of 67180428 is about 8196.3667560694. The cubic root of 67180428 is about 406.5190688349.
The spelling of 67180428 in words is "sixty-seven million, one hundred eighty thousand, four hundred twenty-eight".
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