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12276193 = 172937673
BaseRepresentation
bin101110110101…
…000111100001
3212002200202211
4232311013201
511120314233
61115042121
7206226436
oct56650741
925080684
1012276193
116a25316
124140341
13270a927
1418b7b8d
1511275cd
hexbb51e1

12276193 has 16 divisors (see below), whose sum is σ = 13830480. Its totient is φ = 10838016.

The previous prime is 12276163. The next prime is 12276197. The reversal of 12276193 is 39167221.

It can be written as a sum of positive squares in 8 ways, for example, as 1067089 + 11209104 = 1033^2 + 3348^2 .

It is a cyclic number.

It is not a de Polignac number, because 12276193 - 25 = 12276161 is a prime.

It is a Duffinian number.

Its product of digits (4536) is a multiple of the sum of its prime divisors (756).

It is not an unprimeable number, because it can be changed into a prime (12276197) 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 15 ways as a sum of consecutive naturals, for example, 17905 + ... + 18577.

It is an arithmetic number, because the mean of its divisors is an integer number (864405).

Almost surely, 212276193 is an apocalyptic number.

It is an amenable number.

12276193 is a deficient number, since it is larger than the sum of its proper divisors (1554287).

12276193 is a wasteful number, since it uses less digits than its factorization.

12276193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756.

The product of its digits is 4536, while the sum is 31.

The square root of 12276193 is about 3503.7398590649. The cubic root of 12276193 is about 230.6859985338.

The spelling of 12276193 in words is "twelve million, two hundred seventy-six thousand, one hundred ninety-three".

Divisors: 1 17 29 37 493 629 673 1073 11441 18241 19517 24901 331789 423317 722129 12276193