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12972141 = 3271347337
BaseRepresentation
bin110001011111…
…000001101101
3220102001102200
4301133001231
511310102031
61142012113
7215155440
oct61370155
926361380
1012972141
117360186
124417039
1328c2630
141a19657
1512138e6
hexc5f06d

12972141 has 48 divisors (see below), whose sum is σ = 23622144. Its totient is φ = 6676992.

The previous prime is 12972131. The next prime is 12972149. The reversal of 12972141 is 14127921.

It is not a de Polignac number, because 12972141 - 210 = 12971117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972149) 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 47 ways as a sum of consecutive naturals, for example, 38325 + ... + 38661.

It is an arithmetic number, because the mean of its divisors is an integer number (492128).

Almost surely, 212972141 is an apocalyptic number.

It is an amenable number.

12972141 is a deficient number, since it is larger than the sum of its proper divisors (10650003).

12972141 is a wasteful number, since it uses less digits than its factorization.

12972141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 407 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12972141 is about 3601.6858552628. The cubic root of 12972141 is about 234.9653849724.

The spelling of 12972141 in words is "twelve million, nine hundred seventy-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 21 39 47 63 91 117 141 273 329 337 423 611 819 987 1011 1833 2359 2961 3033 4277 4381 5499 7077 12831 13143 15839 21231 30667 38493 39429 47517 92001 110873 142551 205907 276003 332619 617721 997857 1441349 1853163 4324047 12972141