Base | Representation |
---|---|
bin | 100110001100… |
… | …011011101000 |
3 | 200211200102100 |
4 | 212030123220 |
5 | 10030344032 |
6 | 554333400 |
7 | 151050435 |
oct | 46143350 |
9 | 20750370 |
10 | 10012392 |
11 | 5719505 |
12 | 342a260 |
13 | 20c73c0 |
14 | 1488b8c |
15 | d2b97c |
hex | 98c6e8 |
10012392 has 96 divisors (see below), whose sum is σ = 30794400. Its totient is φ = 2913408.
The previous prime is 10012391. The next prime is 10012393. The reversal of 10012392 is 29321001.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (10012391) and next prime (10012393).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10012391) 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 23 ways as a sum of consecutive naturals, for example, 17503 + ... + 18065.
It is an arithmetic number, because the mean of its divisors is an integer number (320775).
Almost surely, 210012392 is an apocalyptic number.
10012392 is a gapful number since it is divisible by the number (12) 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 10012392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397200).
10012392 is an abundant number, since it is smaller than the sum of its proper divisors (20782008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10012392 is a wasteful number, since it uses less digits than its factorization.
10012392 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 607 (or 600 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 10012392 is about 3164.2364007767. The cubic root of 10012392 is about 215.5324247842.
Adding to 10012392 its reverse (29321001), we get a palindrome (39333393).
It can be divided in two parts, 10012 and 392, that added together give a square (10404 = 1022).
The spelling of 10012392 in words is "ten million, twelve thousand, three hundred ninety-two".
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