| Base | Representation |
|---|---|
| bin | 11111000000101… |
| … | …01000100000000 |
| 3 | 200010111010120000 |
| 4 | 33200111010000 |
| 5 | 1013043224440 |
| 6 | 41451320000 |
| 7 | 6306044412 |
| oct | 1740250400 |
| 9 | 603433500 |
| 10 | 260133120 |
| 11 | 123924955 |
| 12 | 73150000 |
| 13 | 41b7ca30 |
| 14 | 267969b2 |
| 15 | 17c86730 |
| hex | f815100 |
260133120 has 360 divisors, whose sum is σ = 1007597976. Its totient is φ = 63700992.
The previous prime is 260133077. The next prime is 260133127. The reversal of 260133120 is 21331062.
It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 260112384 = 144^2 + 16128^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 260133093 and 260133102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (260133127) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347744 + ... + 1347936.
Almost surely, 2260133120 is an apocalyptic number.
260133120 is a gapful number since it is divisible by the number (20) 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 260133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798988).
260133120 is an abundant number, since it is smaller than the sum of its proper divisors (747464856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
260133120 is a wasteful number, since it uses less digits than its factorization.
260133120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 239 (or 216 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 260133120 is about 16128.6428443313. The cubic root of 260133120 is about 638.3593393743.
Adding to 260133120 its reverse (21331062), we get a palindrome (281464182).
It can be divided in two parts, 2601 and 33120, that added together give a square (35721 = 1892).
The spelling of 260133120 in words is "two hundred sixty million, one hundred thirty-three thousand, one hundred twenty".
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