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12082257 = 3311172393
BaseRepresentation
bin101110000101…
…110001010001
3211201211202000
4232011301101
511043113012
61110544213
7204461145
oct56056121
924654660
1012082257
116902640
124068069
132670585
141867225
1510d9ddc
hexb85c51

12082257 has 32 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 6888960.

The previous prime is 12082247. The next prime is 12082307. The reversal of 12082257 is 75228021.

12082257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12082257 - 27 = 12082129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12082257.

It is not an unprimeable number, because it can be changed into a prime (12082237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3853 + ... + 6245.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 212082257 is an apocalyptic number.

12082257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12082257 is a deficient number, since it is larger than the sum of its proper divisors (8601903).

12082257 is a wasteful number, since it uses less digits than its factorization.

12082257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12082257 is about 3475.9541136212. The cubic root of 12082257 is about 229.4647730971.

The spelling of 12082257 in words is "twelve million, eighty-two thousand, two hundred fifty-seven".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 2393 5049 7179 21537 26323 40681 64611 78969 122043 236907 366129 447491 710721 1098387 1342473 4027419 12082257