| Base | Representation |
|---|---|
| bin | 100000000110111… |
| … | …1101000001100000 |
| 3 | 2210002022120110200 |
| 4 | 1000031331001200 |
| 5 | 4201303242043 |
| 6 | 254524225200 |
| 7 | 35461513563 |
| oct | 10015750140 |
| 9 | 2702276420 |
| 10 | 1077399648 |
| 11 | 503189336 |
| 12 | 26099b200 |
| 13 | 142299ab0 |
| 14 | a31384da |
| 15 | 648be7d3 |
| hex | 4037d060 |
1077399648 has 144 divisors (see below), whose sum is σ = 3413657520. Its totient is φ = 320044032.
The previous prime is 1077399613. The next prime is 1077399691. The reversal of 1077399648 is 8469937701.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 1077399594 and 1077399603.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 103615 + ... + 113537.
It is an arithmetic number, because the mean of its divisors is an integer number (23705955).
Almost surely, 21077399648 is an apocalyptic number.
1077399648 is a gapful number since it is divisible by the number (18) 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 1077399648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706828760).
1077399648 is an abundant number, since it is smaller than the sum of its proper divisors (2336257872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1077399648 is a wasteful number, since it uses less digits than its factorization.
1077399648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9981 (or 9970 counting only the distinct ones).
The product of its (nonzero) digits is 2286144, while the sum is 54.
The square root of 1077399648 is about 32823.7665114776. The cubic root of 1077399648 is about 1025.1614730342.
The spelling of 1077399648 in words is "one billion, seventy-seven million, three hundred ninety-nine thousand, six hundred forty-eight".
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