Base | Representation |
---|---|
bin | 100111000011… |
… | …001111010000 |
3 | 201021002100201 |
4 | 213003033100 |
5 | 10110040010 |
6 | 1003224544 |
7 | 153004063 |
oct | 47031720 |
9 | 21232321 |
10 | 10236880 |
11 | 5862135 |
12 | 3518154 |
13 | 2175634 |
14 | 15068da |
15 | d7323a |
hex | 9c33d0 |
10236880 has 40 divisors (see below), whose sum is σ = 24389064. Its totient is φ = 3993600.
The previous prime is 10236857. The next prime is 10236883. The reversal of 10236880 is 8863201.
10236880 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.
It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 9096256 = 1068^2 + 3016^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10236883) 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 7 ways as a sum of consecutive naturals, for example, 1720 + ... + 4840.
Almost surely, 210236880 is an apocalyptic number.
10236880 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 10236880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194532).
10236880 is an abundant number, since it is smaller than the sum of its proper divisors (14152184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10236880 is a wasteful number, since it uses less digits than its factorization.
10236880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3175 (or 3169 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 28.
The square root of 10236880 is about 3199.5124628606. The cubic root of 10236880 is about 217.1313524442.
The spelling of 10236880 in words is "ten million, two hundred thirty-six thousand, eight hundred eighty".
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