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10752753 = 3112331457
BaseRepresentation
bin101001000001…
…001011110001
3202020022000010
4221001023301
510223042003
61022245133
7160253064
oct51011361
922208003
1010752753
116084780
1237267a9
1322c639b
1415dc8db
15e26003
hexa412f1

10752753 has 32 divisors (see below), whose sum is σ = 16883712. Its totient is φ = 6019200.

The previous prime is 10752743. The next prime is 10752757. The reversal of 10752753 is 35725701.

It is not a de Polignac number, because 10752753 - 29 = 10752241 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10752753.

It is not an unprimeable number, because it can be changed into a prime (10752757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23301 + ... + 23757.

It is an arithmetic number, because the mean of its divisors is an integer number (527616).

Almost surely, 210752753 is an apocalyptic number.

It is an amenable number.

10752753 is a deficient number, since it is larger than the sum of its proper divisors (6130959).

10752753 is a wasteful number, since it uses less digits than its factorization.

10752753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 10752753 is about 3279.1390638398. The cubic root of 10752753 is about 220.7190864453.

It can be divided in two parts, 1075 and 2753, that added together give a triangular number (3828 = T87).

The spelling of 10752753 in words is "ten million, seven hundred fifty-two thousand, seven hundred fifty-three".

Divisors: 1 3 11 23 31 33 69 93 253 341 457 713 759 1023 1371 2139 5027 7843 10511 14167 15081 23529 31533 42501 115621 155837 325841 346863 467511 977523 3584251 10752753