Base | Representation |
---|---|
bin | 100110011101… |
… | …010001111000 |
3 | 200222012002012 |
4 | 212131101320 |
5 | 10040101100 |
6 | 1000025052 |
7 | 151455560 |
oct | 46352170 |
9 | 20865065 |
10 | 10081400 |
11 | 576633a |
12 | 3462188 |
13 | 211c934 |
14 | 14a5da0 |
15 | d42135 |
hex | 99d478 |
10081400 has 96 divisors (see below), whose sum is σ = 28272000. Its totient is φ = 3265920.
The previous prime is 10081399. The next prime is 10081403. The reversal of 10081400 is 418001.
It is a happy number.
10081400 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (14).
10081400 is strictly pandigital in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10081403) 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, 26411 + ... + 26789.
It is an arithmetic number, because the mean of its divisors is an integer number (294500).
Almost surely, 210081400 is an apocalyptic number.
10081400 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 10081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136000).
10081400 is an abundant number, since it is smaller than the sum of its proper divisors (18190600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10081400 is a wasteful number, since it uses less digits than its factorization.
10081400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 421 (or 412 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
The square root of 10081400 is about 3175.1220448984. The cubic root of 10081400 is about 216.0264599501.
Adding to 10081400 its reverse (418001), we get a palindrome (10499401).
The spelling of 10081400 in words is "ten million, eighty-one thousand, four hundred".
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