Base | Representation |
---|---|
bin | 1111111111000… |
… | …1111101000100 |
3 | 11200011120010200 |
4 | 3333301331010 |
5 | 114131120312 |
6 | 10353050500 |
7 | 1442632635 |
oct | 377617504 |
9 | 150146120 |
10 | 67051332 |
11 | 34937727 |
12 | 1a556a30 |
13 | 10b7865a |
14 | 8c9588c |
15 | 5d470dc |
hex | 3ff1f44 |
67051332 has 54 divisors (see below), whose sum is σ = 180004734. Its totient is φ = 20972160.
The previous prime is 67051331. The next prime is 67051367. The reversal of 67051332 is 23315076.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 63107136 + 3944196 = 7944^2 + 1986^2 .
It is a super-2 number, since 2×670513322 = 8991762245948448, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 67051296 and 67051305.
It is not an unprimeable number, because it can be changed into a prime (67051331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202407 + ... + 202737.
It is an arithmetic number, because the mean of its divisors is an integer number (3333421).
Almost surely, 267051332 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 67051332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90002367).
67051332 is an abundant number, since it is smaller than the sum of its proper divisors (112953402).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67051332 is a wasteful number, since it uses less digits than its factorization.
67051332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 689 (or 353 counting only the distinct ones).
The product of its (nonzero) digits is 3780, while the sum is 27.
The square root of 67051332 is about 8188.4877724767. The cubic root of 67051332 is about 406.2585086344.
The spelling of 67051332 in words is "sixty-seven million, fifty-one thousand, three hundred thirty-two".
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