Base | Representation |
---|---|
bin | 111101001001111… |
… | …001000001110100 |
3 | 2122111121100121100 |
4 | 331021321001310 |
5 | 4100124044220 |
6 | 245450450100 |
7 | 34265611365 |
oct | 7511710164 |
9 | 2574540540 |
10 | 1026003060 |
11 | 487174315 |
12 | 247733930 |
13 | 134742b04 |
14 | 9a399b6c |
15 | 6011ad90 |
hex | 3d279074 |
1026003060 has 72 divisors (see below), whose sum is σ = 3120422760. Its totient is φ = 272878848.
The previous prime is 1026003029. The next prime is 1026003061. The reversal of 1026003060 is 603006201.
It is a happy number.
1026003060 is a `hidden beast` number, since 1 + 0 + 2 + 600 + 3 + 0 + 60 = 666.
1026003060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 120956004 + 905047056 = 10998^2 + 30084^2 .
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 (1026003061) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62694 + ... + 77346.
It is an arithmetic number, because the mean of its divisors is an integer number (43339205).
Almost surely, 21026003060 is an apocalyptic number.
1026003060 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 1026003060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560211380).
1026003060 is an abundant number, since it is smaller than the sum of its proper divisors (2094419700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1026003060 is a wasteful number, since it uses less digits than its factorization.
1026003060 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15057 (or 15052 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1026003060 is about 32031.2825219347. The cubic root of 1026003060 is about 1008.5936247331.
Adding to 1026003060 its reverse (603006201), we get a palindrome (1629009261).
The spelling of 1026003060 in words is "one billion, twenty-six million, three thousand, sixty".
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