Base | Representation |
---|---|
bin | 101110101110… |
… | …101111100000 |
3 | 212001100221200 |
4 | 232232233200 |
5 | 11114000310 |
6 | 1114321200 |
7 | 206060343 |
oct | 56565740 |
9 | 25040850 |
10 | 12250080 |
11 | 6a07737 |
12 | 4129200 |
13 | 26cba8b |
14 | 18ac45a |
15 | 111e9c0 |
hex | baebe0 |
12250080 has 144 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3179520.
The previous prime is 12250061. The next prime is 12250097. The reversal of 12250080 is 8005221.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67590 + ... + 67770.
It is an arithmetic number, because the mean of its divisors is an integer number (298116).
Almost surely, 212250080 is an apocalyptic number.
12250080 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 12250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).
12250080 is an abundant number, since it is smaller than the sum of its proper divisors (30678624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12250080 is a wasteful number, since it uses less digits than its factorization.
12250080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 249 (or 238 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 18.
The square root of 12250080 is about 3500.0114285528. The cubic root of 12250080 is about 230.5223164180.
The spelling of 12250080 in words is "twelve million, two hundred fifty thousand, eighty".
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