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12272981 = 72412149
BaseRepresentation
bin101110110100…
…010101010101
3212002112100212
4232310111111
511120213411
61115015205
7206214200
oct56642525
925075325
1012272981
116a22966
12413a505
132709326
1418b6937
15112668b
hexbb4555

12272981 has 18 divisors (see below), whose sum is σ = 14731650. Its totient is φ = 10194240.

The previous prime is 12272977. The next prime is 12272983. The reversal of 12272981 is 18927221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1768900 + 10504081 = 1330^2 + 3241^2 .

It is not a de Polignac number, because 12272981 - 22 = 12272977 is a prime.

It is a super-2 number, since 2×122729812 = 301252125252722, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272983) 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 17 ways as a sum of consecutive naturals, for example, 82295 + ... + 82443.

It is an arithmetic number, because the mean of its divisors is an integer number (818425).

Almost surely, 212272981 is an apocalyptic number.

It is an amenable number.

12272981 is a deficient number, since it is larger than the sum of its proper divisors (2458669).

12272981 is an equidigital number, since it uses as much as digits as its factorization.

12272981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 197 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 12272981 is about 3503.2814617156. The cubic root of 12272981 is about 230.6658775278.

The spelling of 12272981 in words is "twelve million, two hundred seventy-two thousand, nine hundred eighty-one".

Divisors: 1 7 41 49 149 287 1043 1681 2009 6109 7301 11767 42763 82369 250469 299341 1753283 12272981