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12972753 = 321579181
BaseRepresentation
bin110001011111…
…001011010001
3220102002021100
4301133023101
511310112003
61142015013
7215160303
oct61371321
926362240
1012972753
117360692
124417469
1328c29b1
141a19973
151213ba3
hexc5f2d1

12972753 has 12 divisors (see below), whose sum is σ = 18859828. Its totient is φ = 8592480.

The previous prime is 12972737. The next prime is 12972781. The reversal of 12972753 is 35727921.

It can be written as a sum of positive squares in 2 ways, for example, as 6066369 + 6906384 = 2463^2 + 2628^2 .

It is not a de Polignac number, because 12972753 - 24 = 12972737 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972703) 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 11 ways as a sum of consecutive naturals, for example, 3178 + ... + 6003.

Almost surely, 212972753 is an apocalyptic number.

It is an amenable number.

12972753 is a deficient number, since it is larger than the sum of its proper divisors (5887075).

12972753 is a wasteful number, since it uses less digits than its factorization.

12972753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9341 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12972753 is about 3601.7708144745. The cubic root of 12972753 is about 234.9690799820.

The spelling of 12972753 in words is "twelve million, nine hundred seventy-two thousand, seven hundred fifty-three".

Divisors: 1 3 9 157 471 1413 9181 27543 82629 1441417 4324251 12972753