| Base | Representation |
|---|---|
| bin | 1110000010100… |
| … | …1100000000000 |
| 3 | 11002210221020000 |
| 4 | 3200221200000 |
| 5 | 110033441430 |
| 6 | 5502120000 |
| 7 | 1313362443 |
| oct | 340514000 |
| 9 | 132727200 |
| 10 | 58890240 |
| 11 | 30273122 |
| 12 | 17880000 |
| 13 | c27bac6 |
| 14 | 7b6d65a |
| 15 | 5283e60 |
| hex | 3829800 |
58890240 has 240 divisors, whose sum is σ = 214053840. Its totient is φ = 15482880.
The previous prime is 58890233. The next prime is 58890241. The reversal of 58890240 is 4209885.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 58890195 and 58890204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (58890241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829405 + ... + 829475.
It is an arithmetic number, because the mean of its divisors is an integer number (891891).
Almost surely, 258890240 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 58890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026920).
58890240 is an abundant number, since it is smaller than the sum of its proper divisors (155163600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58890240 is an equidigital number, since it uses as much as digits as its factorization.
58890240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 110 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 58890240 is about 7673.9976544172. The cubic root of 58890240 is about 389.0580819646.
Adding to 58890240 its sum of digits (36), we get a square (58890276 = 76742).
58890240 divided by its product of nonzero digits (23040) gives a triangular number (2556 = T71).
The spelling of 58890240 in words is "fifty-eight million, eight hundred ninety thousand, two hundred forty".
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