Base | Representation |
---|---|
bin | 1000101101000… |
… | …11010011100000 |
3 | 12002101211111011 |
4 | 10112203103200 |
5 | 122143130030 |
6 | 11125030304 |
7 | 1544444110 |
oct | 426432340 |
9 | 162354434 |
10 | 73020640 |
11 | 38244540 |
12 | 20555394 |
13 | 121886a4 |
14 | 99ab040 |
15 | 6625b2a |
hex | 45a34e0 |
73020640 has 96 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 22755840.
The previous prime is 73020617. The next prime is 73020641. The reversal of 73020640 is 4602037.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (73020641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9357 + ... + 15283.
It is an arithmetic number, because the mean of its divisors is an integer number (2240784).
Almost surely, 273020640 is an apocalyptic number.
73020640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 73020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).
73020640 is an abundant number, since it is smaller than the sum of its proper divisors (142094624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73020640 is a wasteful number, since it uses less digits than its factorization.
73020640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5960 (or 5952 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 22.
The square root of 73020640 is about 8545.2115245908. The cubic root of 73020640 is about 417.9733047671.
Adding to 73020640 its reverse (4602037), we get a palindrome (77622677).
The spelling of 73020640 in words is "seventy-three million, twenty thousand, six hundred forty".
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