Base | Representation |
---|---|
bin | 1000101101111… |
… | …11100001000100 |
3 | 12002121201000000 |
4 | 10112333201010 |
5 | 122210324241 |
6 | 11131321300 |
7 | 1545435030 |
oct | 426774104 |
9 | 162551000 |
10 | 73136196 |
11 | 38313341 |
12 | 205b0230 |
13 | 121c9173 |
14 | 99db1c0 |
15 | 6649eb6 |
hex | 45bf844 |
73136196 has 84 divisors (see below), whose sum is σ = 219369472. Its totient is φ = 20890224.
The previous prime is 73136191. The next prime is 73136201. The reversal of 73136196 is 69163137.
73136196 is a `hidden beast` number, since 7 + 31 + 3 + 619 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (73136191) and next prime (73136201).
It is a tau number, because it is divible by the number of its divisors (84).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 73136196.
It is not an unprimeable number, because it can be changed into a prime (73136191) by changing a digit.
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 27 ways as a sum of consecutive naturals, for example, 18621 + ... + 22203.
Almost surely, 273136196 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 73136196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109684736).
73136196 is an abundant number, since it is smaller than the sum of its proper divisors (146233276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73136196 is a wasteful number, since it uses less digits than its factorization.
73136196 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3612 (or 3595 counting only the distinct ones).
The product of its digits is 20412, while the sum is 36.
The square root of 73136196 is about 8551.9702992936. The cubic root of 73136196 is about 418.1936710795.
The spelling of 73136196 in words is "seventy-three million, one hundred thirty-six thousand, one hundred ninety-six".
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