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10753104 = 243593797
BaseRepresentation
bin101001000001…
…010001010000
3202020022111010
4221001101100
510223044404
61022250520
7160254105
oct51012120
922208433
1010753104
116084a6a
123726a40
1322c65ab
1415dcaac
15e26189
hexa41450

10753104 has 40 divisors (see below), whose sum is σ = 28257120. Its totient is φ = 3522688.

The previous prime is 10753103. The next prime is 10753123. The reversal of 10753104 is 40135701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 934 + ... + 4730.

It is an arithmetic number, because the mean of its divisors is an integer number (706428).

Almost surely, 210753104 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 10753104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128560).

10753104 is an abundant number, since it is smaller than the sum of its proper divisors (17504016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10753104 is a wasteful number, since it uses less digits than its factorization.

10753104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10753104 is about 3279.1925835486. The cubic root of 10753104 is about 220.7214880491.

Adding to 10753104 its reverse (40135701), we get a palindrome (50888805).

The spelling of 10753104 in words is "ten million, seven hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 3797 7594 11391 15188 22782 30376 45564 60752 91128 182256 224023 448046 672069 896092 1344138 1792184 2688276 3584368 5376552 10753104