Search a number
-
+
12972311 = 113731873
BaseRepresentation
bin110001011111…
…000100010111
3220102001122222
4301133010113
511310103221
61142012555
7215156102
oct61370427
926361588
1012972311
117360320
12441715b
1328c2731
141a19739
1512139ab
hexc5f117

12972311 has 8 divisors (see below), whose sum is σ = 14534544. Its totient is φ = 11473920.

The previous prime is 12972301. The next prime is 12972313. The reversal of 12972311 is 11327921.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12972311 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 (12972313) 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, 15530 + ... + 16343.

It is an arithmetic number, because the mean of its divisors is an integer number (1816818).

Almost surely, 212972311 is an apocalyptic number.

12972311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12972311 is a deficient number, since it is larger than the sum of its proper divisors (1562233).

12972311 is a wasteful number, since it uses less digits than its factorization.

12972311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31921.

The product of its digits is 756, while the sum is 26.

The square root of 12972311 is about 3601.7094552448. The cubic root of 12972311 is about 234.9664113756.

The spelling of 12972311 in words is "twelve million, nine hundred seventy-two thousand, three hundred eleven".

Divisors: 1 11 37 407 31873 350603 1179301 12972311