Base | Representation |
---|---|
bin | 1000101111101… |
… | …10101001010000 |
3 | 12010001011202010 |
4 | 10113312221100 |
5 | 122240041000 |
6 | 11140222520 |
7 | 1550365245 |
oct | 427665120 |
9 | 163034663 |
10 | 73362000 |
11 | 38457a58 |
12 | 2069aa40 |
13 | 12277b8a |
14 | 9a595cc |
15 | 6691d50 |
hex | 45f6a50 |
73362000 has 80 divisors (see below), whose sum is σ = 236538432. Its totient is φ = 19561600.
The previous prime is 73361969. The next prime is 73362011. The reversal of 73362000 is 26337.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114 + ... + 12113.
Almost surely, 273362000 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 73362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118269216).
73362000 is an abundant number, since it is smaller than the sum of its proper divisors (163176432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73362000 is a wasteful number, since it uses less digits than its factorization.
73362000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12253 (or 12237 counting only the distinct ones).
The product of its (nonzero) digits is 756, while the sum is 21.
The square root of 73362000 is about 8565.1619949654. The cubic root of 73362000 is about 418.6236122620.
Adding to 73362000 its reverse (26337), we get a palindrome (73388337).
The spelling of 73362000 in words is "seventy-three million, three hundred sixty-two thousand".
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