Base | Representation |
---|---|
bin | 100001101000111… |
… | …1000001011000000 |
3 | 2220122221221121221 |
4 | 1003101320023000 |
5 | 4302430310000 |
6 | 304001124424 |
7 | 36654205324 |
oct | 10321701300 |
9 | 2818857557 |
10 | 1128760000 |
11 | 52a179105 |
12 | 276029714 |
13 | 14cb10434 |
14 | a9ca7984 |
15 | 6916761a |
hex | 434782c0 |
1128760000 has 70 divisors (see below), whose sum is σ = 2799057140. Its totient is φ = 451488000.
The previous prime is 1128759977. The next prime is 1128760001. The reversal of 1128760000 is 678211.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (1128760001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25891 + ... + 54109.
Almost surely, 21128760000 is an apocalyptic number.
1128760000 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 1128760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399528570).
1128760000 is an abundant number, since it is smaller than the sum of its proper divisors (1670297140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1128760000 is an frugal number, since it uses more digits than its factorization.
1128760000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28251 (or 28226 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 25.
The square root of 1128760000 is about 33597.0236777010. The cubic root of 1128760000 is about 1041.1993067876.
The spelling of 1128760000 in words is "one billion, one hundred twenty-eight million, seven hundred sixty thousand".
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