Base | Representation |
---|---|
bin | 1111111001000… |
… | …00000001110000 |
3 | 100021211100200111 |
4 | 13330200001300 |
5 | 233111102321 |
6 | 21121031104 |
7 | 3206014501 |
oct | 774400160 |
9 | 307740614 |
10 | 133300336 |
11 | 69276574 |
12 | 38785494 |
13 | 21802a50 |
14 | 139bcba8 |
15 | ba815e1 |
hex | 7f20070 |
133300336 has 40 divisors (see below), whose sum is σ = 281978480. Its totient is φ = 60673536.
The previous prime is 133300331. The next prime is 133300339. The reversal of 133300336 is 633003331.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133300331) 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 7 ways as a sum of consecutive naturals, for example, 10795 + ... + 19573.
It is an arithmetic number, because the mean of its divisors is an integer number (7049462).
Almost surely, 2133300336 is an apocalyptic number.
133300336 is a gapful number since it is divisible by the number (16) 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 133300336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140989240).
133300336 is an abundant number, since it is smaller than the sum of its proper divisors (148678144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133300336 is a wasteful number, since it uses less digits than its factorization.
133300336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8873 (or 8867 counting only the distinct ones).
The product of its (nonzero) digits is 1458, while the sum is 22.
The square root of 133300336 is about 11545.5764689339. The cubic root of 133300336 is about 510.8308078390.
Adding to 133300336 its reverse (633003331), we get a palindrome (766303667).
The spelling of 133300336 in words is "one hundred thirty-three million, three hundred thousand, three hundred thirty-six".
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