Base | Representation |
---|---|
bin | 111100111110011… |
… | …011111000010000 |
3 | 2122021221210021212 |
4 | 330332123320100 |
5 | 4043342000310 |
6 | 245302235252 |
7 | 34231233344 |
oct | 7476337020 |
9 | 2567853255 |
10 | 1023000080 |
11 | 485503113 |
12 | 246725b28 |
13 | 133c30cbb |
14 | 99c17624 |
15 | 5ec26205 |
hex | 3cf9be10 |
1023000080 has 20 divisors (see below), whose sum is σ = 2378475372. Its totient is φ = 409200000.
The previous prime is 1023000079. The next prime is 1023000089. The reversal of 1023000080 is 800003201.
It can be written as a sum of positive squares in 2 ways, for example, as 475065616 + 547934464 = 21796^2 + 23408^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is not an unprimeable number, because it can be changed into a prime (1023000089) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6393671 + ... + 6393830.
Almost surely, 21023000080 is an apocalyptic number.
1023000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1023000080 is an abundant number, since it is smaller than the sum of its proper divisors (1355475292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023000080 is a wasteful number, since it uses less digits than its factorization.
1023000080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12787514 (or 12787508 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 1023000080 is about 31984.3724340497. The cubic root of 1023000080 is about 1007.6086548785.
Adding to 1023000080 its reverse (800003201), we get a palindrome (1823003281).
The spelling of 1023000080 in words is "one billion, twenty-three million, eighty", and thus it is an aban number and an uban number.
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