| Base | Representation |
|---|---|
| bin | 100000000111000… |
| … | …0110011100100000 |
| 3 | 2210002101112102000 |
| 4 | 1000032012130200 |
| 5 | 4201311010430 |
| 6 | 254525124000 |
| 7 | 35462034234 |
| oct | 10016063440 |
| 9 | 2702345360 |
| 10 | 1077438240 |
| 11 | 50320532a |
| 12 | 2609b9600 |
| 13 | 1422b1528 |
| 14 | a31485c4 |
| 15 | 648cae60 |
| hex | 40386720 |
1077438240 has 288 divisors, whose sum is σ = 4010549760. Its totient is φ = 270102528.
The previous prime is 1077438239. The next prime is 1077438283. The reversal of 1077438240 is 428347701.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×10774382402 = 2321746322028595200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1077438195 and 1077438204.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248049 + ... + 1248911.
It is an arithmetic number, because the mean of its divisors is an integer number (13925520).
Almost surely, 21077438240 is an apocalyptic number.
1077438240 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 1077438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005274880).
1077438240 is an abundant number, since it is smaller than the sum of its proper divisors (2933111520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1077438240 is a wasteful number, since it uses less digits than its factorization.
1077438240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 921 (or 890 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 1077438240 is about 32824.3543729347. The cubic root of 1077438240 is about 1025.1737131716.
It can be divided in two parts, 107 and 7438240, that added together give a palindrome (7438347).
The spelling of 1077438240 in words is "one billion, seventy-seven million, four hundred thirty-eight thousand, two hundred forty".
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