Base | Representation |
---|---|
bin | 100111101110… |
… | …000011111000 |
3 | 201120222222000 |
4 | 213232003320 |
5 | 10131143110 |
6 | 1011101000 |
7 | 154334334 |
oct | 47560370 |
9 | 21528860 |
10 | 10412280 |
11 | 597199a |
12 | 35a1760 |
13 | 2207418 |
14 | 15507c4 |
15 | daa1c0 |
hex | 9ee0f8 |
10412280 has 128 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 2678400.
The previous prime is 10412243. The next prime is 10412287. The reversal of 10412280 is 8221401.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10412287) by changing a digit.
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, 33325 + ... + 33635.
It is an arithmetic number, because the mean of its divisors is an integer number (280800).
Almost surely, 210412280 is an apocalyptic number.
10412280 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 10412280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).
10412280 is an abundant number, since it is smaller than the sum of its proper divisors (25530120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10412280 is a wasteful number, since it uses less digits than its factorization.
10412280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362 (or 352 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 10412280 is about 3226.8064708005. The cubic root of 10412280 is about 218.3644550292.
Adding to 10412280 its reverse (8221401), we get a palindrome (18633681).
It can be divided in two parts, 1041 and 2280, that added together give a triangular number (3321 = T81).
The spelling of 10412280 in words is "ten million, four hundred twelve thousand, two hundred eighty".
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