Base | Representation |
---|---|
bin | 1111111110010… |
… | …1011011100000 |
3 | 11200001221202200 |
4 | 3333211123200 |
5 | 114123000112 |
6 | 10352013200 |
7 | 1442330241 |
oct | 377453340 |
9 | 150057680 |
10 | 67000032 |
11 | 34902130 |
12 | 1a531200 |
13 | 10b5b1b8 |
14 | 8c80cc8 |
15 | 5d36cdc |
hex | 3fe56e0 |
67000032 has 72 divisors (see below), whose sum is σ = 207862200. Its totient is φ = 20302080.
The previous prime is 67000019. The next prime is 67000033. The reversal of 67000032 is 23000076.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 66999969 and 67000014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67000033) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7407 + ... + 13742.
It is an arithmetic number, because the mean of its divisors is an integer number (2886975).
Almost surely, 267000032 is an apocalyptic number.
It is an amenable number.
67000032 is an abundant number, since it is smaller than the sum of its proper divisors (140862168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67000032 is a wasteful number, since it uses less digits than its factorization.
67000032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21176 (or 21165 counting only the distinct ones).
The product of its (nonzero) digits is 252, while the sum is 18.
The square root of 67000032 is about 8185.3547265833. The cubic root of 67000032 is about 406.1548747060.
The spelling of 67000032 in words is "sixty-seven million, thirty-two", and thus it is an aban number and an uban number.
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