Base | Representation |
---|---|
bin | 1000000000101… |
… | …00100011101000 |
3 | 11200102202120000 |
4 | 10000110203220 |
5 | 114200134224 |
6 | 10400103000 |
7 | 1444063101 |
oct | 400244350 |
9 | 150382500 |
10 | 67193064 |
11 | 34a24164 |
12 | 1a604a60 |
13 | 10bc8013 |
14 | 8cd13a8 |
15 | 5d740c9 |
hex | 40148e8 |
67193064 has 80 divisors (see below), whose sum is σ = 190320900. Its totient is φ = 22146048.
The previous prime is 67193057. The next prime is 67193083. The reversal of 67193064 is 46039176.
It can be written as a sum of positive squares in 2 ways, for example, as 67076100 + 116964 = 8190^2 + 342^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62322 + ... + 63390.
Almost surely, 267193064 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 67193064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95160450).
67193064 is an abundant number, since it is smaller than the sum of its proper divisors (123127836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67193064 is a wasteful number, since it uses less digits than its factorization.
67193064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1184 (or 1171 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 67193064 is about 8197.1375491692. The cubic root of 67193064 is about 406.5445546948.
Subtracting from 67193064 its sum of digits (36), we obtain a triangular number (67193028 = T11592).
It can be divided in two parts, 67 and 193064, that added together give a triangular number (193131 = T621).
The spelling of 67193064 in words is "sixty-seven million, one hundred ninety-three thousand, sixty-four".
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