| Base | Representation |
|---|---|
| bin | 11110110001000… |
| … | …01010100010000 |
| 3 | 122222122010122200 |
| 4 | 33120201110100 |
| 5 | 1012032224120 |
| 6 | 41335403200 |
| 7 | 6252460533 |
| oct | 1730412420 |
| 9 | 588563580 |
| 10 | 258086160 |
| 11 | 122756a52 |
| 12 | 72523500 |
| 13 | 41614107 |
| 14 | 263c2a1a |
| 15 | 179cee90 |
| hex | f621510 |
258086160 has 180 divisors, whose sum is σ = 898001676. Its totient is φ = 66424320.
The previous prime is 258086159. The next prime is 258086161. The reversal of 258086160 is 61680852.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (258086159) and next prime (258086161).
It can be written as a sum of positive squares in 2 ways, for example, as 116380944 + 141705216 = 10788^2 + 11904^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (258086161) 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 35 ways as a sum of consecutive naturals, for example, 691734 + ... + 692106.
Almost surely, 2258086160 is an apocalyptic number.
258086160 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 258086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449000838).
258086160 is an abundant number, since it is smaller than the sum of its proper divisors (639915516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
258086160 is a wasteful number, since it uses less digits than its factorization.
258086160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 454 (or 414 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 258086160 is about 16065.0602239768. The cubic root of 258086160 is about 636.6805341619.
The spelling of 258086160 in words is "two hundred fifty-eight million, eighty-six thousand, one hundred sixty".
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