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10753540 = 2257210973
BaseRepresentation
bin101001000001…
…011000000100
3202020100002021
4221001120010
510223103130
61022252524
7160255300
oct51013004
922210067
1010753540
116085326
123727144
1322c6855
1415dcd00
15e2637a
hexa41604

10753540 has 36 divisors (see below), whose sum is σ = 26271756. Its totient is φ = 3686592.

The previous prime is 10753529. The next prime is 10753543. The reversal of 10753540 is 4535701.

It can be written as a sum of positive squares in 2 ways, for example, as 4955076 + 5798464 = 2226^2 + 2408^2 .

It is not an unprimeable number, because it can be changed into a prime (10753543) 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 11 ways as a sum of consecutive naturals, for example, 4507 + ... + 6466.

It is an arithmetic number, because the mean of its divisors is an integer number (729771).

Almost surely, 210753540 is an apocalyptic number.

10753540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10753540 is an abundant number, since it is smaller than the sum of its proper divisors (15518216).

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

10753540 is a wasteful number, since it uses less digits than its factorization.

10753540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10987 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 10753540 is about 3279.2590626542. The cubic root of 10753540 is about 220.7244711651.

The spelling of 10753540 in words is "ten million, seven hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10973 21946 43892 54865 76811 109730 153622 219460 307244 384055 537677 768110 1075354 1536220 2150708 2688385 5376770 10753540