Base | Representation |
---|---|
bin | 100110101010… |
… | …101110000000 |
3 | 201001222121000 |
4 | 212222232000 |
5 | 10043331243 |
6 | 1001132000 |
7 | 152105220 |
oct | 46525600 |
9 | 21058530 |
10 | 10136448 |
11 | 57a3733 |
12 | 348a000 |
13 | 213b9ca |
14 | 14bc080 |
15 | d535d3 |
hex | 9aab80 |
10136448 has 128 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 2889216.
The previous prime is 10136447. The next prime is 10136449. The reversal of 10136448 is 84463101.
10136448 is a `hidden beast` number, since 1 + 0 + 13 + 644 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (10136447) and next prime (10136449).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10136447) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23983 + ... + 24401.
It is an arithmetic number, because the mean of its divisors is an integer number (267750).
Almost surely, 210136448 is an apocalyptic number.
10136448 is a gapful number since it is divisible by the number (18) 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 10136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).
10136448 is an abundant number, since it is smaller than the sum of its proper divisors (24135552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10136448 is an equidigital number, since it uses as much as digits as its factorization.
10136448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 449 (or 431 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 10136448 is about 3183.7788867947. The cubic root of 10136448 is about 216.4189400114.
Adding to 10136448 its reverse (84463101), we get a palindrome (94599549).
The spelling of 10136448 in words is "ten million, one hundred thirty-six thousand, four hundred forty-eight".
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