Base | Representation |
---|---|
bin | 101000000010… |
… | …110101000000 |
3 | 201202022122112 |
4 | 220002311000 |
5 | 10141403334 |
6 | 1012554452 |
7 | 155140334 |
oct | 50026500 |
9 | 21668575 |
10 | 10497344 |
11 | 5a1a8a0 |
12 | 3622a28 |
13 | 2237060 |
14 | 15737c4 |
15 | dc54ce |
hex | a02d40 |
10497344 has 112 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 4147200.
The previous prime is 10497337. The next prime is 10497371. The reversal of 10497344 is 44379401.
It is a happy number.
It is a super-2 number, since 2×104973442 = 220388462108672, which contains 22 as substring.
It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 10497344.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283694 + ... + 283730.
It is an arithmetic number, because the mean of its divisors is an integer number (231648).
Almost surely, 210497344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10497344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).
10497344 is an abundant number, since it is smaller than the sum of its proper divisors (15447232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10497344 is a wasteful number, since it uses less digits than its factorization.
10497344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 32.
The square root of 10497344 is about 3239.9604935863. The cubic root of 10497344 is about 218.9574919408.
The spelling of 10497344 in words is "ten million, four hundred ninety-seven thousand, three hundred forty-four".
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