| Base | Representation |
|---|---|
| bin | 111111000011000… |
| … | …000101110100000 |
| 3 | 2201201100110201200 |
| 4 | 333003000232200 |
| 5 | 4131241112031 |
| 6 | 252543201200 |
| 7 | 35132521644 |
| oct | 7703005640 |
| 9 | 2651313650 |
| 10 | 1057754016 |
| 11 | 4a3090280 |
| 12 | 2562a6200 |
| 13 | 13b1aba67 |
| 14 | a06a2c24 |
| 15 | 62cdd8e6 |
| hex | 3f0c0ba0 |
1057754016 has 144 divisors (see below), whose sum is σ = 3454345440. Its totient is φ = 303644160.
The previous prime is 1057753993. The next prime is 1057754017. The reversal of 1057754016 is 6104577501.
1057754016 is a `hidden beast` number, since 105 + 7 + 7 + 540 + 1 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×10577540162 = 2237687116728256512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1057754017) 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 23 ways as a sum of consecutive naturals, for example, 51406 + ... + 68978.
It is an arithmetic number, because the mean of its divisors is an integer number (23988510).
Almost surely, 21057754016 is an apocalyptic number.
1057754016 is a gapful number since it is divisible by the number (16) 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 1057754016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727172720).
1057754016 is an abundant number, since it is smaller than the sum of its proper divisors (2396591424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057754016 is a wasteful number, since it uses less digits than its factorization.
1057754016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17619 (or 17608 counting only the distinct ones).
The product of its (nonzero) digits is 29400, while the sum is 36.
The square root of 1057754016 is about 32523.1304766316. The cubic root of 1057754016 is about 1018.8921766967.
The spelling of 1057754016 in words is "one billion, fifty-seven million, seven hundred fifty-four thousand, sixteen".
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