Base | Representation |
---|---|
bin | 1111111000010… |
… | …00010101000000 |
3 | 100021122102112020 |
4 | 13330020111000 |
5 | 233100001024 |
6 | 21115001440 |
7 | 3205131465 |
oct | 774102500 |
9 | 307572466 |
10 | 133203264 |
11 | 6920a647 |
12 | 38739280 |
13 | 2179a7cc |
14 | 1399566c |
15 | ba62979 |
hex | 7f08540 |
133203264 has 112 divisors (see below), whose sum is σ = 373075200. Its totient is φ = 41875456.
The previous prime is 133203263. The next prime is 133203269. The reversal of 133203264 is 462302331.
133203264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133203263) 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, 261442 + ... + 261950.
Almost surely, 2133203264 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 133203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).
133203264 is an abundant number, since it is smaller than the sum of its proper divisors (239871936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133203264 is a wasteful number, since it uses less digits than its factorization.
133203264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 600 (or 590 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 24.
The square root of 133203264 is about 11541.3718422032. The cubic root of 133203264 is about 510.7067786195.
Adding to 133203264 its reverse (462302331), we get a palindrome (595505595).
The spelling of 133203264 in words is "one hundred thirty-three million, two hundred three thousand, two hundred sixty-four".
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