Base | Representation |
---|---|
bin | 1000000000010… |
… | …00000000000000 |
3 | 11200100011000010 |
4 | 10000020000000 |
5 | 114142013012 |
6 | 10355024520 |
7 | 1443460125 |
oct | 400100000 |
9 | 150304003 |
10 | 67141632 |
11 | 34999558 |
12 | 1a59b140 |
13 | 10baa79c |
14 | 8cba74c |
15 | 5d63c3c |
hex | 4008000 |
67141632 has 64 divisors (see below), whose sum is σ = 179303760. Its totient is φ = 22347776.
The previous prime is 67141631. The next prime is 67141637. The reversal of 67141632 is 23614176.
It is a tau number, because it is divible by the number of its divisors (64).
It is a self number, because there is not a number n which added to its sum of digits gives 67141632.
It is not an unprimeable number, because it can be changed into a prime (67141631) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97963 + ... + 98645.
Almost surely, 267141632 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 67141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89651880).
67141632 is an abundant number, since it is smaller than the sum of its proper divisors (112162128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67141632 is an frugal number, since it uses more digits than its factorization.
67141632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 716 (or 688 counting only the distinct ones).
The product of its digits is 6048, while the sum is 30.
The square root of 67141632 is about 8193.9997559190. Note that the first 3 decimals coincide. The cubic root of 67141632 is about 406.4408002520.
The spelling of 67141632 in words is "sixty-seven million, one hundred forty-one thousand, six hundred thirty-two".
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