Base | Representation |
---|---|
bin | 1111110110101… |
… | …11100010011100 |
3 | 100021021021101121 |
4 | 13323113202130 |
5 | 233022102140 |
6 | 21110420324 |
7 | 3203340034 |
oct | 773274234 |
9 | 307237347 |
10 | 133003420 |
11 | 69093490 |
12 | 386616a4 |
13 | 2172a864 |
14 | 139428c4 |
15 | ba2364a |
hex | 7ed789c |
133003420 has 96 divisors (see below), whose sum is σ = 328043520. Its totient is φ = 44778240.
The previous prime is 133003399. The next prime is 133003421. The reversal of 133003420 is 24300331.
It is a junction number, because it is equal to n+sod(n) for n = 133003394 and 133003403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133003421) 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 31 ways as a sum of consecutive naturals, for example, 196122 + ... + 196798.
It is an arithmetic number, because the mean of its divisors is an integer number (3417120).
Almost surely, 2133003420 is an apocalyptic number.
133003420 is a gapful number since it is divisible by the number (10) 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 133003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164021760).
133003420 is an abundant number, since it is smaller than the sum of its proper divisors (195040100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133003420 is a wasteful number, since it uses less digits than its factorization.
133003420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 763 (or 761 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 133003420 is about 11532.7108695224. The cubic root of 133003420 is about 510.4512474215.
Adding to 133003420 its reverse (24300331), we get a palindrome (157303751).
The spelling of 133003420 in words is "one hundred thirty-three million, three thousand, four hundred twenty".
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