Base | Representation |
---|---|
bin | 110100011111111… |
… | …111000100000000 |
3 | 2021101101021110020 |
4 | 310133333010000 |
5 | 3300441100000 |
6 | 223222333440 |
7 | 30553451013 |
oct | 6437770400 |
9 | 2241337406 |
10 | 880800000 |
11 | 412209093 |
12 | 206b8a280 |
13 | 110633442 |
14 | 84d9d37a |
15 | 524d7ba0 |
hex | 347ff100 |
880800000 has 216 divisors, whose sum is σ = 2938061952. Its totient is φ = 234240000.
The previous prime is 880799999. The next prime is 880800001. The reversal of 880800000 is 8088.
It is a happy number.
880800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (880799999) and next prime (880800001).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a zygodrome in base 5.
It is not an unprimeable number, because it can be changed into a prime (880800001) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399817 + ... + 2400183.
Almost surely, 2880800000 is an apocalyptic number.
880800000 is a gapful number since it is divisible by the number (80) 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 880800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469030976).
880800000 is an abundant number, since it is smaller than the sum of its proper divisors (2057261952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
880800000 is an frugal number, since it uses more digits than its factorization.
880800000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 411 (or 377 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 24.
The square root of 880800000 is about 29678.2748824793. The cubic root of 880800000 is about 958.5742725425.
Adding to 880800000 its reverse (8088), we get a palindrome (880808088).
The spelling of 880800000 in words is "eight hundred eighty million, eight hundred thousand".
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