Base | Representation |
---|---|
bin | 111101000000011… |
… | …111111101000000 |
3 | 2122022222021101000 |
4 | 331000133331000 |
5 | 4044011303211 |
6 | 245322012000 |
7 | 34235645466 |
oct | 7500377500 |
9 | 2568867330 |
10 | 1023541056 |
11 | 4858425aa |
12 | 246947000 |
13 | 1340902c5 |
14 | 99d18836 |
15 | 5ecd1656 |
hex | 3d01ff40 |
1023541056 has 112 divisors (see below), whose sum is σ = 3082625280. Its totient is φ = 332835840.
The previous prime is 1023541037. The next prime is 1023541061. The reversal of 1023541056 is 6501453201.
1023541056 is a `hidden beast` number, since 10 + 235 + 410 + 5 + 6 = 666.
1023541056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63625 + ... + 78071.
It is an arithmetic number, because the mean of its divisors is an integer number (27523440).
Almost surely, 21023541056 is an apocalyptic number.
1023541056 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 1023541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541312640).
1023541056 is an abundant number, since it is smaller than the sum of its proper divisors (2059084224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023541056 is a wasteful number, since it uses less digits than its factorization.
1023541056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14509 (or 14493 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 1023541056 is about 31992.8281963318. The cubic root of 1023541056 is about 1007.7862358499.
Adding to 1023541056 its reverse (6501453201), we get a palindrome (7524994257).
The spelling of 1023541056 in words is "one billion, twenty-three million, five hundred forty-one thousand, fifty-six".
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