| Base | Representation |
|---|---|
| bin | 100000001011100… |
| … | …1101111010000100 |
| 3 | 2210020212221200100 |
| 4 | 1000113031322010 |
| 5 | 4202413444400 |
| 6 | 255052244100 |
| 7 | 35521246611 |
| oct | 10027157204 |
| 9 | 2706787610 |
| 10 | 1079828100 |
| 11 | 50459791a |
| 12 | 261770630 |
| 13 | 14293a250 |
| 14 | a35ab508 |
| 15 | 64bee100 |
| hex | 405cde84 |
1079828100 has 432 divisors, whose sum is σ = 3966777360. Its totient is φ = 243302400.
The previous prime is 1079828069. The next prime is 1079828107. The reversal of 1079828100 is 18289701.
It can be written as a sum of positive squares in 24 ways, for example, as 1062238464 + 17589636 = 32592^2 + 4194^2 .
It is a super-2 number, since 2×10798281002 = 2332057451099220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1079828107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12132856 + ... + 12132944.
It is an arithmetic number, because the mean of its divisors is an integer number (9182355).
Almost surely, 21079828100 is an apocalyptic number.
1079828100 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 1079828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983388680).
1079828100 is an abundant number, since it is smaller than the sum of its proper divisors (2886949260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1079828100 is a wasteful number, since it uses less digits than its factorization.
1079828100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200 (or 190 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 36.
The square root of 1079828100 is about 32860.7379710195. The cubic root of 1079828100 is about 1025.9311308834.
The spelling of 1079828100 in words is "one billion, seventy-nine million, eight hundred twenty-eight thousand, one hundred".
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