| Base | Representation |
|---|---|
| bin | 1101011111000111… |
| … | …00101010110000100 |
| 3 | 200200120220202112021 |
| 4 | 12233203211112010 |
| 5 | 104312004324400 |
| 6 | 3154240532524 |
| 7 | 344264413654 |
| oct | 65743452604 |
| 9 | 20616822467 |
| 10 | 7240308100 |
| 11 | 3085a68703 |
| 12 | 14a0921144 |
| 13 | 8b503409c |
| 14 | 4c9832364 |
| 15 | 2c598671a |
| hex | 1af8e5584 |
7240308100 has 81 divisors (see below), whose sum is σ = 16076043333. Its totient is φ = 2830433760.
The previous prime is 7240308077. The next prime is 7240308107. The reversal of 7240308100 is 18030427.
The square root of 7240308100 is 85090.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 2606510916 + 4633797184 = 51054^2 + 68072^2 .
It is a super-2 number, since 2×72403081002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (7240308107) 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 26 ways as a sum of consecutive naturals, for example, 57010237 + ... + 57010363.
Almost surely, 27240308100 is an apocalyptic number.
7240308100 is the 85090-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 7240308100
7240308100 is an abundant number, since it is smaller than the sum of its proper divisors (8835735233).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7240308100 is a wasteful number, since it uses less digits than its factorization.
7240308100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 402 (or 201 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 25.
The cubic root of 7240308100 is about 1934.5754955068.
Multiplying 7240308100 by its sum of digits (25), we get a square (181007702500 = 4254502).
7240308100 divided by its sum of digits (25) gives a square (289612324 = 170182).
Adding to 7240308100 its reverse (18030427), we get a palindrome (7258338527).
The spelling of 7240308100 in words is "seven billion, two hundred forty million, three hundred eight thousand, one hundred".
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