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21035753 = 53735437
BaseRepresentation
bin101000000111…
…1101011101001
31110120201121222
41100033223221
520341121003
62030511425
7343541504
oct120175351
943521558
1021035753
1110968522
127065575
1344869bb
142b1813b
151ca7c38
hex140fae9

21035753 has 8 divisors (see below), whose sum is σ = 21730248. Its totient is φ = 20352384.

The previous prime is 21035737. The next prime is 21035761. The reversal of 21035753 is 35753012.

It can be written as a sum of positive squares in 4 ways, for example, as 6190144 + 14845609 = 2488^2 + 3853^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21035753 - 24 = 21035737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21031753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1151 + ... + 6587.

It is an arithmetic number, because the mean of its divisors is an integer number (2716281).

Almost surely, 221035753 is an apocalyptic number.

It is an amenable number.

21035753 is a deficient number, since it is larger than the sum of its proper divisors (694495).

21035753 is an equidigital number, since it uses as much as digits as its factorization.

21035753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 21035753 is about 4586.4750081081. The cubic root of 21035753 is about 276.0489000033.

Adding to 21035753 its reverse (35753012), we get a palindrome (56788765).

It can be divided in two parts, 210357 and 53, that multiplied together give a square (11148921 = 33392).

The spelling of 21035753 in words is "twenty-one million, thirty-five thousand, seven hundred fifty-three".

Divisors: 1 53 73 3869 5437 288161 396901 21035753