Base | Representation |
---|---|
bin | 1010011111011… |
… | …00011001010000 |
3 | 20010120212102020 |
4 | 11033230121100 |
5 | 140012000310 |
6 | 12422051440 |
7 | 2115663000 |
oct | 517543120 |
9 | 203525366 |
10 | 88000080 |
11 | 45745843 |
12 | 25579b80 |
13 | 1530186c |
14 | b98a000 |
15 | 7ad4170 |
hex | 53ec650 |
88000080 has 160 divisors (see below), whose sum is σ = 318432000. Its totient is φ = 20095488.
The previous prime is 88000069. The next prime is 88000091. The reversal of 88000080 is 8000088.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (88000069) and next prime (88000091).
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 self number, because there is not a number n which added to its sum of digits gives 88000080.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81786 + ... + 82854.
It is an arithmetic number, because the mean of its divisors is an integer number (1990200).
Almost surely, 288000080 is an apocalyptic number.
88000080 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 88000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159216000).
88000080 is an abundant number, since it is smaller than the sum of its proper divisors (230431920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88000080 is a wasteful number, since it uses less digits than its factorization.
88000080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1106 (or 1086 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 24.
The square root of 88000080 is about 9380.8357836602. The cubic root of 88000080 is about 444.7961529005.
The spelling of 88000080 in words is "eighty-eight million, eighty", and thus it is an aban number and an uban number.
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