| Base | Representation |
|---|---|
| bin | 100000000101110… |
| … | …1000001011110000 |
| 3 | 2210001011121012010 |
| 4 | 1000023220023300 |
| 5 | 4201124240000 |
| 6 | 254503202520 |
| 7 | 35453364306 |
| oct | 10013501360 |
| 9 | 2701147163 |
| 10 | 1076790000 |
| 11 | 5029022a0 |
| 12 | 260746440 |
| 13 | 142115460 |
| 14 | a301a276 |
| 15 | 647edd50 |
| hex | 402e82f0 |
1076790000 has 400 divisors, whose sum is σ = 4099987584. Its totient is φ = 240000000.
The previous prime is 1076789993. The next prime is 1076790007. The reversal of 1076790000 is 976701.
It is an interprime number because it is at equal distance from previous prime (1076789993) and next prime (1076790007).
It is a tau number, because it is divible by the number of its divisors (400).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a self number, because there is not a number n which added to its sum of digits gives 1076790000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1076790007) 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 79 ways as a sum of consecutive naturals, for example, 4289875 + ... + 4290125.
Almost surely, 21076790000 is an apocalyptic number.
1076790000 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 1076790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049993792).
1076790000 is an abundant number, since it is smaller than the sum of its proper divisors (3023197584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1076790000 is a wasteful number, since it uses less digits than its factorization.
1076790000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 306 (or 285 counting only the distinct ones).
The product of its (nonzero) digits is 2646, while the sum is 30.
The square root of 1076790000 is about 32814.4785117789. The cubic root of 1076790000 is about 1024.9680735644.
The spelling of 1076790000 in words is "one billion, seventy-six million, seven hundred ninety thousand".
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