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12738117 = 3717311151
BaseRepresentation
bin110000100101…
…111001000101
3212222011102010
4300211321011
511230104432
61133004433
7213162240
oct60457105
925864363
1012738117
117210377
124323719
13283cc62
141998257
1511b93cc
hexc25e45

12738117 has 32 divisors (see below), whose sum is σ = 21233664. Its totient is φ = 6624000.

The previous prime is 12738059. The next prime is 12738119. The reversal of 12738117 is 71183721.

It is not a de Polignac number, because 12738117 - 26 = 12738053 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12738119) 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, 10492 + ... + 11642.

It is an arithmetic number, because the mean of its divisors is an integer number (663552).

Almost surely, 212738117 is an apocalyptic number.

12738117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12738117 is a deficient number, since it is larger than the sum of its proper divisors (8495547).

12738117 is a wasteful number, since it uses less digits than its factorization.

12738117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209.

The product of its digits is 2352, while the sum is 30.

The square root of 12738117 is about 3569.0498735658. The cubic root of 12738117 is about 233.5438370193.

The spelling of 12738117 in words is "twelve million, seven hundred thirty-eight thousand, one hundred seventeen".

Divisors: 1 3 7 17 21 31 51 93 119 217 357 527 651 1151 1581 3453 3689 8057 11067 19567 24171 35681 58701 107043 136969 249767 410907 606577 749301 1819731 4246039 12738117