| Base | Representation |
|---|---|
| bin | 111111000101011… |
| … | …110011100000000 |
| 3 | 2201202120021212000 |
| 4 | 333011132130000 |
| 5 | 4131422300000 |
| 6 | 253005104000 |
| 7 | 35141152200 |
| oct | 7705363400 |
| 9 | 2652507760 |
| 10 | 1058400000 |
| 11 | 4a3491649 |
| 12 | 256558000 |
| 13 | 13b376ab8 |
| 14 | a07d0400 |
| 15 | 62dba000 |
| hex | 3f15e700 |
1058400000 has 648 divisors, whose sum is σ = 4550802480. Its totient is φ = 241920000.
The previous prime is 1058399963. The next prime is 1058400001. The reversal of 1058400000 is 48501.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1058400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10584000002 = 2240421120000000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1058400001) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151199997 + ... + 151200003.
Almost surely, 21058400000 is an apocalyptic number.
1058400000 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 1058400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275401240).
1058400000 is an abundant number, since it is smaller than the sum of its proper divisors (3492402480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1058400000 is an frugal number, since it uses more digits than its factorization.
1058400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 18.
The square root of 1058400000 is about 32533.0601081423. The cubic root of 1058400000 is about 1019.0995513451.
Adding to 1058400000 its reverse (48501), we get a palindrome (1058448501).
The spelling of 1058400000 in words is "one billion, fifty-eight million, four hundred thousand".
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