Base | Representation |
---|---|
bin | 100111000110… |
… | …111101110000 |
3 | 201021212022001 |
4 | 213012331300 |
5 | 10111032034 |
6 | 1003423344 |
7 | 153066430 |
oct | 47067560 |
9 | 21255261 |
10 | 10252144 |
11 | 5872651 |
12 | 3524b54 |
13 | 217c576 |
14 | 150c2c0 |
15 | d77a14 |
hex | 9c6f70 |
10252144 has 40 divisors (see below), whose sum is σ = 22855680. Its totient is φ = 4363968.
The previous prime is 10252133. The next prime is 10252163. The reversal of 10252144 is 44125201.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 26577 + ... + 26959.
It is an arithmetic number, because the mean of its divisors is an integer number (571392).
Almost surely, 210252144 is an apocalyptic number.
10252144 is a gapful number since it is divisible by the number (14) 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 10252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).
10252144 is an abundant number, since it is smaller than the sum of its proper divisors (12603536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10252144 is a wasteful number, since it uses less digits than its factorization.
10252144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 637 (or 631 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 19.
The square root of 10252144 is about 3201.8969377542. The cubic root of 10252144 is about 217.2392188721.
Adding to 10252144 its reverse (44125201), we get a palindrome (54377345).
The spelling of 10252144 in words is "ten million, two hundred fifty-two thousand, one hundred forty-four".
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