Base | Representation |
---|---|
bin | 111110110011110… |
… | …000111010000000 |
3 | 2201102211101221010 |
4 | 332303300322000 |
5 | 4124230211211 |
6 | 252321400520 |
7 | 35053534002 |
oct | 7663607200 |
9 | 2642741833 |
10 | 1053757056 |
11 | 4a0900300 |
12 | 254a99140 |
13 | 13a40c6b1 |
14 | 9dd42372 |
15 | 6279e4a6 |
hex | 3ecf0e80 |
1053757056 has 96 divisors (see below), whose sum is σ = 3076768800. Its totient is φ = 319306240.
The previous prime is 1053756947. The next prime is 1053757073. The reversal of 1053757056 is 6507573501.
It is a happy number.
1053757056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×10537570562 = 2220807866139574272, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35125 + ... + 57803.
It is an arithmetic number, because the mean of its divisors is an integer number (32049675).
Almost surely, 21053757056 is an apocalyptic number.
1053757056 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 1053757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538384400).
1053757056 is an abundant number, since it is smaller than the sum of its proper divisors (2023011744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1053757056 is a wasteful number, since it uses less digits than its factorization.
1053757056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22718 (or 22695 counting only the distinct ones).
The product of its (nonzero) digits is 110250, while the sum is 39.
The square root of 1053757056 is about 32461.6243586177. The cubic root of 1053757056 is about 1017.6071861761.
The spelling of 1053757056 in words is "one billion, fifty-three million, seven hundred fifty-seven thousand, fifty-six".
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